beseech
Meaning: to beg, plead, implore
Usage: The servant beseeched the king for food to feed his starving family.
implore
Meaning: to beg earnestly
Usage: The hikers implored the guide to wait until the storm passed.
entreat
Meaning: to ask earnestly or anxiously
Usage: The students entreated the principal to reopen the library after school.
supplicate
Meaning: to beg humbly or earnestly
Usage: The villagers supplicated the council for help after the flood.
petition
Meaning: to make a formal request
Usage: The club petitioned the school board for a new meeting room.