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Finding the Fourth Proportional to 925.23, 1,387.27 and 308.77

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Solution

The fourth proportional to 925.23, 1,387.27 and 308.77 is: 462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.23 : 1,387.27 = 308.77 : x
  2. Step 2: Convert to fraction form
    925.23/1,387.27 = 308.77/x
  3. Step 3: Cross multiply
    925.23x = 1,387.27 × 308.77
  4. Step 4: Simplify right side
    925.23x = 428,350.05
  5. Step 5: Solve for x
    x = 428,350.05/925.23
  6. Step 6: Final answer
    x = 462.97

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Why These Related Problems?

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