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Finding the Fourth Proportional to 502.28, 752.05 and 424.82

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Solution

The fourth proportional to 502.28, 752.05 and 424.82 is: 636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.28 : 752.05 = 424.82 : x
  2. Step 2: Convert to fraction form
    502.28/752.05 = 424.82/x
  3. Step 3: Cross multiply
    502.28x = 752.05 × 424.82
  4. Step 4: Simplify right side
    502.28x = 319,483.76
  5. Step 5: Solve for x
    x = 319,483.76/502.28
  6. Step 6: Final answer
    x = 636.07

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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.