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Finding the Fourth Proportional to 925.13, 1,387.89 and 309.27

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Solution

The fourth proportional to 925.13, 1,387.89 and 309.27 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.13 : 1,387.89 = 309.27 : x
  2. Step 2: Convert to fraction form
    925.13/1,387.89 = 309.27/x
  3. Step 3: Cross multiply
    925.13x = 1,387.89 × 309.27
  4. Step 4: Simplify right side
    925.13x = 429,232.74
  5. Step 5: Solve for x
    x = 429,232.74/925.13
  6. Step 6: Final answer
    x = 463.97

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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.