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Finding the Fourth Proportional to 925.82, 1,387.91 and 349.10

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Solution

The fourth proportional to 925.82, 1,387.91 and 349.10 is: 523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.82 : 1,387.91 = 349.10 : x
  2. Step 2: Convert to fraction form
    925.82/1,387.91 = 349.10/x
  3. Step 3: Cross multiply
    925.82x = 1,387.91 × 349.10
  4. Step 4: Simplify right side
    925.82x = 484,510.70
  5. Step 5: Solve for x
    x = 484,510.70/925.82
  6. Step 6: Final answer
    x = 523.33

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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.