
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

Gold bars usually represent alloys of gold with other metals (for example, with copper). Four such bars were melted into one weighing 17002 grams and containing $56\%$ gold. It is known that of the four bars, one weighed 300 grams and contained $96\%$ pure gold, the second weighed 200 grams and contained $86\%$ gold, and the third weighed 400 grams and contained $64\%$ gold. What percentage of pure gold did the fourth bar contain?

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