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Finding the Fourth Proportional to 652.85, 900.92 and 358.13

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Solution

The fourth proportional to 652.85, 900.92 and 358.13 is: 494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.85 : 900.92 = 358.13 : x
  2. Step 2: Convert to fraction form
    652.85/900.92 = 358.13/x
  3. Step 3: Cross multiply
    652.85x = 900.92 × 358.13
  4. Step 4: Simplify right side
    652.85x = 322,644.69
  5. Step 5: Solve for x
    x = 322,644.69/652.85
  6. Step 6: Final answer
    x = 494.21

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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.