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                                                                   EXHIBIT 4-B


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                          THIRD SUPPLEMENTAL INDENTURE

                                     between

                             HERCULES INCORPORATED,
                                    as Issuer

                                       and

                            THE CHASE MANHATTAN BANK,
                                   as Trustee

                          Dated as of October 25, 1999

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                                TABLE OF CONTENTS



                                                                                                               Page
                                                                                                               ----
                                                                                                        
                                    ARTICLE 1
SECTION 1.01.  Definitions........................................................................................2

                                    ARTICLE 2

SECTION 2.01.  Ratification of Base Indenture, the First Supplemental Indenture and the
                 Second Supplemental Indenture: Third Supplemental Indenture Controls.............................2
SECTION 2.02.  Trustee Not Responsible for Recitals...............................................................3
SECTION 2.03.  Governing Law......................................................................................3
SECTION 2.04.  Severability.......................................................................................3
SECTION 2.05.  Counterparts.......................................................................................3
SECTION 2.06.  Terms Defined......................................................................................3







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         THIRD SUPPLEMENTAL INDENTURE, dated as of October 25, 1999 (the "THIRD
SUPPLEMENTAL INDENTURE"), between Hercules Incorporated, a Delaware corporation
(the "Company"), and The Chase Manhattan Bank, a New York banking corporation,
as trustee (the "TRUSTEE").

         WHEREAS, the Company and the Trustee are parties to the Junior
Subordinated Debentures Indenture dated as of November 12, 1998 between the
Company and the Trustee (the "BASE INDENTURE"), as supplemented by a First
Supplemental Indenture dated as of November 12, 1998 between the Company and the
Trustee (the "FIRST SUPPLEMENTAL INDENTURE") and a Second Supplemental Indenture
dated as of July 6, 1999 (the "SECOND SUPPLEMENTAL INDENTURE" and together with
the Base Indenture, the First Supplemental Indenture and this Third Supplemental
Indenture, the "INDENTURE");

         WHEREAS, the Company executed and delivered the Base Indenture to the
Trustee to provide for the issuance of the Company's unsecured junior
subordinated debentures (the "DEBENTURES") to be issued from time to time in one
or more series as might be determined by the Company under the Indenture, in an
unlimited aggregate principal amount which may be authenticated and delivered as
provided in the Base Indenture;

         WHEREAS, pursuant to the terms of the Indenture in the First
Supplemental Indenture, the Company provided for the establishment of a new
series of its Debentures known as its Auction Rate Reset Junior Subordinated
Notes Series A (the "SUBORDINATED NOTES");

         WHEREAS, the Indenture provides that the Company and the Trustee may
amend the Indenture, with the consent of at least a majority in the aggregate
principal amount of the Debentures affected thereby, to provide for, among other
things, a change in the stated maturity of that series of Debentures;

         WHEREAS, the Company and the Trustee desire to modify certain
provisions of the Indenture to extend the maturity date of the Subordinated
Notes;

         WHEREAS, all things necessary to make this Third Supplemental Indenture
a valid indenture and agreement according to its terms have been done;

         NOW THEREFORE, in consideration of the purchase and acceptance of the
Subordinated Notes by the Holder thereof, and for the purpose of amending and
restating certain terms of the Indenture relating to the stated maturity of the
Subordinated Notes, the Company covenants and agrees with the Trustee as
follows:


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                                    ARTICLE 1

         SECTION 1.01. Definitions. The definition of "Maturity Date" contained
in Section 1.01 of the Second Supplemental Indenture is hereby amended to read
in its entirety as follows:

                  "MATURITY DATE" means January 25, 2000."


                                    ARTICLE 2

         SECTION 2.01. Ratification of Base Indenture, the First Supplemental
Indenture and the Second Supplemental Indenture: Third Supplemental Indenture
Controls. The Base Indenture, as supplemented by the First Supplemental
Indenture, the Second Supplemental Indenture and this Third Supplemental
Indenture, is in all respects ratified and confirmed, and this Third
Supplemental Indenture shall be deemed part of the Base Indenture in the manner
and to the extent herein and therein provided. The provisions of this Third
Supplemental Indenture shall supersede the provisions of the Base Indenture, the
First Supplemental Indenture and the Second Supplemental Indenture to the extent
the Base Indenture, the First Supplemental Indenture or the Second Supplemental
Indenture is inconsistent herewith.

         SECTION 2.02. Trustee Not Responsible for Recitals. The recitals herein
contained are made by the Company and not by the Trustee, and the Trustee
assumes no responsibility for the correctness thereof. The Trustee makes no
representation as to the validity or sufficiency of this Third Supplemental
Indenture.

         SECTION 2.03. Governing Law. This Third Supplemental Indenture shall be
governed by and construed in accordance with the laws of the State of New York,
as applied to contracts made and performed within the State of New York, without
regard to its principles of conflicts of laws.

         SECTION 2.04. Severability. If any provision in the Base Indenture, the
First Supplemental Indenture, the Second Supplemental Indenture, this Third
Supplemental Indenture or in the Subordinated Notes shall be invalid, illegal or
unenforceable, the validity, legality and enforceability of the remaining
provisions shall not in any way be affected or impaired thereby.

         SECTION 2.05. Counterparts. The parties may sign any number of copies
of this Third Supplemental Indenture. Each signed copy shall be an original, but
all of them together represent the same agreement. Any signed copy shall be
sufficient proof of this Third Supplemental Indenture.

         SECTION 2.06. Terms Defined. All terms defined elsewhere in the
Indenture shall have the same meanings when used herein.



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         IN WITNESS WHEREOF, the parties hereto have caused this Third
Supplemental Indenture to be duly executed as of the day and year first above
written.


                                    HERCULES INCORPORATED,
                                          as Issuer

                                    By: /s/ Israel J. Floyd
                                       ------------------------------
                                        Name:  Israel J. Floyd
                                        Title: Vice President and
                                               General Counsel




                                    THE CHASE MANHATTAN BANK,
                                            as Trustee

                                    By: /s/ Joseph C. Progar
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                                        Name:  Joseph C. Progar
                                        Title: Authorized Officer