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Finding the Fourth Proportional to 502.10, 751.17 and 424.19

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Solution

The fourth proportional to 502.10, 751.17 and 424.19 is: 634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 751.17 = 424.19 : x
  2. Step 2: Convert to fraction form
    502.10/751.17 = 424.19/x
  3. Step 3: Cross multiply
    502.10x = 751.17 × 424.19
  4. Step 4: Simplify right side
    502.10x = 318,638.80
  5. Step 5: Solve for x
    x = 318,638.80/502.10
  6. Step 6: Final answer
    x = 634.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.