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Finding the Fourth Proportional to 331.52, 498.08 and 314.10

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Solution

The fourth proportional to 331.52, 498.08 and 314.10 is: 471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.52 : 498.08 = 314.10 : x
  2. Step 2: Convert to fraction form
    331.52/498.08 = 314.10/x
  3. Step 3: Cross multiply
    331.52x = 498.08 × 314.10
  4. Step 4: Simplify right side
    331.52x = 156,446.93
  5. Step 5: Solve for x
    x = 156,446.93/331.52
  6. Step 6: Final answer
    x = 471.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.