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Finding the Fourth Proportional to 380.52, 523.32 and 331.44

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Solution

The fourth proportional to 380.52, 523.32 and 331.44 is: 455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 523.32 = 331.44 : x
  2. Step 2: Convert to fraction form
    380.52/523.32 = 331.44/x
  3. Step 3: Cross multiply
    380.52x = 523.32 × 331.44
  4. Step 4: Simplify right side
    380.52x = 173,449.18
  5. Step 5: Solve for x
    x = 173,449.18/380.52
  6. Step 6: Final answer
    x = 455.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.