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Finding the Fourth Proportional to 639.28, 959.48 and 408.56

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Solution

The fourth proportional to 639.28, 959.48 and 408.56 is: 613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.28 : 959.48 = 408.56 : x
  2. Step 2: Convert to fraction form
    639.28/959.48 = 408.56/x
  3. Step 3: Cross multiply
    639.28x = 959.48 × 408.56
  4. Step 4: Simplify right side
    639.28x = 392,005.15
  5. Step 5: Solve for x
    x = 392,005.15/639.28
  6. Step 6: Final answer
    x = 613.20

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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.