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Finding the Fourth Proportional to 652.92, 901.02 and 358.14

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Solution

The fourth proportional to 652.92, 901.02 and 358.14 is: 494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.92 : 901.02 = 358.14 : x
  2. Step 2: Convert to fraction form
    652.92/901.02 = 358.14/x
  3. Step 3: Cross multiply
    652.92x = 901.02 × 358.14
  4. Step 4: Simplify right side
    652.92x = 322,691.30
  5. Step 5: Solve for x
    x = 322,691.30/652.92
  6. Step 6: Final answer
    x = 494.23

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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.