
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
A quadrilateral is inscribed in a circle of radius $150\sqrt{3}$. Three of the sides of this quadrilateral have length $150$. What is the length of the fourth side?
A) \(150(\sqrt{3} - 3)\)
B) \(150(\sqrt{3} + 3)\)
C) \(450\sqrt{3}\)
D) \(300\sqrt{3}\)

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