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Finding the Fourth Proportional to 591.27, 814.10 and 502.58

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Solution

The fourth proportional to 591.27, 814.10 and 502.58 is: 691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.27 : 814.10 = 502.58 : x
  2. Step 2: Convert to fraction form
    591.27/814.10 = 502.58/x
  3. Step 3: Cross multiply
    591.27x = 814.10 × 502.58
  4. Step 4: Simplify right side
    591.27x = 409,143.79
  5. Step 5: Solve for x
    x = 409,143.79/591.27
  6. Step 6: Final answer
    x = 691.97

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Why These Related Problems?

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