EXHIBIT 23.4 CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS As independent public accountants, we hereby consent to the incorporation by reference of our reports, incorporated by reference in this Form S-4 into Eastern Enterprises' previously filed Post-Effective Amendment No. 1 to Form S- 16 Registration Statement No. 2-71614 on Form S-3 and Form S-8 Registration Statements No. 2-77146, No. 33-19990, No. 33-40862, No. 33-56424, No. 33-58873 and No. 333-88967. /s/Arthur Andersen LLP Arthur Andersen LLP Boston, Massachusetts March 9, 2000