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Finding the Fourth Proportional to 502.13, 753.19 and 381.14

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Solution

The fourth proportional to 502.13, 753.19 and 381.14 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 753.19 = 381.14 : x
  2. Step 2: Convert to fraction form
    502.13/753.19 = 381.14/x
  3. Step 3: Cross multiply
    502.13x = 753.19 × 381.14
  4. Step 4: Simplify right side
    502.13x = 287,067.07
  5. Step 5: Solve for x
    x = 287,067.07/502.13
  6. Step 6: Final answer
    x = 571.70

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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.