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Finding the Fourth Proportional to 580.92, 869.56 and 424.41

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Solution

The fourth proportional to 580.92, 869.56 and 424.41 is: 635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.92 : 869.56 = 424.41 : x
  2. Step 2: Convert to fraction form
    580.92/869.56 = 424.41/x
  3. Step 3: Cross multiply
    580.92x = 869.56 × 424.41
  4. Step 4: Simplify right side
    580.92x = 369,054.17
  5. Step 5: Solve for x
    x = 369,054.17/580.92
  6. Step 6: Final answer
    x = 635.29

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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.