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Finding the Fourth Proportional to 502.12, 691.50 and 371.44

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Solution

The fourth proportional to 502.12, 691.50 and 371.44 is: 511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 691.50 = 371.44 : x
  2. Step 2: Convert to fraction form
    502.12/691.50 = 371.44/x
  3. Step 3: Cross multiply
    502.12x = 691.50 × 371.44
  4. Step 4: Simplify right side
    502.12x = 256,850.76
  5. Step 5: Solve for x
    x = 256,850.76/502.12
  6. Step 6: Final answer
    x = 511.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.