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Finding the Fourth Proportional to 502.57, 693.56 and 310.97

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Solution

The fourth proportional to 502.57, 693.56 and 310.97 is: 429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.57 : 693.56 = 310.97 : x
  2. Step 2: Convert to fraction form
    502.57/693.56 = 310.97/x
  3. Step 3: Cross multiply
    502.57x = 693.56 × 310.97
  4. Step 4: Simplify right side
    502.57x = 215,678.86
  5. Step 5: Solve for x
    x = 215,678.86/502.57
  6. Step 6: Final answer
    x = 429.15

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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.