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Finding the Fourth Proportional to 502.50, 753.27 and 381.30

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Solution

The fourth proportional to 502.50, 753.27 and 381.30 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.50 : 753.27 = 381.30 : x
  2. Step 2: Convert to fraction form
    502.50/753.27 = 381.30/x
  3. Step 3: Cross multiply
    502.50x = 753.27 × 381.30
  4. Step 4: Simplify right side
    502.50x = 287,221.85
  5. Step 5: Solve for x
    x = 287,221.85/502.50
  6. Step 6: Final answer
    x = 571.59

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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.