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A fork of unknown frequency when sounded with one of frequency 288 Hz gives 4 beats/s and when loaded with a piece of wax again

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A fork of unknown frequency when sounded with one of frequency 288 Hz gives 4 beats/s and when loaded with a piece of wax again gives 4 beats/s. How do you account for this and what was the unknown frequency ?

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The unknown frequency

f ' = 288 ± 4 = 292 or 284 Hz. 

Suppose f ' = 292 Hz. 

After waxing this frequency will decrease and so this may give 4 beat/s again when its frequency becomes 284 Hz. Thus unknown frequency will be 292 Hz.

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