What Is the Vibrational Frequency of a Guitar String Based on Beat Frequencies?

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Homework Statement


A guitar string produces 4 beat/s when sounded with a 350-Hz tuning fork and 9 beat/s when sounded with a 355-Hz fork. What is the vibrational frequency of the string? Explain your reasoning.


Homework Equations


f=v//\


The Attempt at a Solution


I'm not quite sure how to start solving this problem. I know that frequency is velocity divided by wavelength. What equation or equations that have beat/s as variables could I use to solve this problem?
 
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