Answer
347 Hz
Work Step by Step
The beat frequency is 3 Hz, so the guitar string is 3 Hz away from 350 Hz, and must have a frequency of either 347 Hz or 353 Hz.
Similarly, the 8 Hz beat frequency when the guitar string interferes with the 355-Hz tuning fork tells us that the guitar string’s frequency is either 347 Hz or 363 Hz.
Only the 347 Hz frequency explains both observations.