
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the price of a product rose by 30% in the first month, then fell by 15% in the second month, rose by 10% in the third month, and finally fell by $x\%$ in the fourth month, find the value of $x\%$ such that the price of the product at the end of the fourth month was the same as it had been at the beginning of the year.

Present the answer in LaTex format: \boxed{Your answer}
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