
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
In an opaque box, there are several white balls. Without allowing the balls to be poured out, in order to estimate the number of white balls, Xiaogang puts $8$ black balls into the box, shakes it evenly, randomly picks out a ball, notes its color, puts it back into the box, and repeats this process $400$ times. Among these $400$ times, $88$ times a black ball is picked. Estimate that there are approximately ______ white balls in the box.

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