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Finding the Fourth Proportional to 658.53, 910.04 and 592.92

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Solution

The fourth proportional to 658.53, 910.04 and 592.92 is: 819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 910.04 = 592.92 : x
  2. Step 2: Convert to fraction form
    658.53/910.04 = 592.92/x
  3. Step 3: Cross multiply
    658.53x = 910.04 × 592.92
  4. Step 4: Simplify right side
    658.53x = 539,577.95
  5. Step 5: Solve for x
    x = 539,577.95/658.53
  6. Step 6: Final answer
    x = 819.37

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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.