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Finding the Fourth Proportional to 580.43, 869.43 and 424.15

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Solution

The fourth proportional to 580.43, 869.43 and 424.15 is: 635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.43 : 869.43 = 424.15 : x
  2. Step 2: Convert to fraction form
    580.43/869.43 = 424.15/x
  3. Step 3: Cross multiply
    580.43x = 869.43 × 424.15
  4. Step 4: Simplify right side
    580.43x = 368,766.56
  5. Step 5: Solve for x
    x = 368,766.56/580.43
  6. Step 6: Final answer
    x = 635.33

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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.