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Finding the Fourth Proportional to 925.24, 1,387.77 and 308.92

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Solution

The fourth proportional to 925.24, 1,387.77 and 308.92 is: 463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.24 : 1,387.77 = 308.92 : x
  2. Step 2: Convert to fraction form
    925.24/1,387.77 = 308.92/x
  3. Step 3: Cross multiply
    925.24x = 1,387.77 × 308.92
  4. Step 4: Simplify right side
    925.24x = 428,709.91
  5. Step 5: Solve for x
    x = 428,709.91/925.24
  6. Step 6: Final answer
    x = 463.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.