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Finding the Fourth Proportional to 591.57, 816.17 and 358.70

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Solution

The fourth proportional to 591.57, 816.17 and 358.70 is: 494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.57 : 816.17 = 358.70 : x
  2. Step 2: Convert to fraction form
    591.57/816.17 = 358.70/x
  3. Step 3: Cross multiply
    591.57x = 816.17 × 358.70
  4. Step 4: Simplify right side
    591.57x = 292,754.30
  5. Step 5: Solve for x
    x = 292,754.30/591.57
  6. Step 6: Final answer
    x = 494.88

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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.