
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
When a pitcher is \(\frac{1}{2}\) full it contains exactly enough water to fill three identical glasses. Determine the fraction of the pitcher that would be full if it had exactly enough water to fill four of the same glasses.

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