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Finding the Fourth Proportional to 502.74, 694.17 and 404.93

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Solution

The fourth proportional to 502.74, 694.17 and 404.93 is: 559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.74 : 694.17 = 404.93 : x
  2. Step 2: Convert to fraction form
    502.74/694.17 = 404.93/x
  3. Step 3: Cross multiply
    502.74x = 694.17 × 404.93
  4. Step 4: Simplify right side
    502.74x = 281,091.99
  5. Step 5: Solve for x
    x = 281,091.99/502.74
  6. Step 6: Final answer
    x = 559.12

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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.