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Finding the Fourth Proportional to 461.66, 688.60 and 392.41

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Solution

The fourth proportional to 461.66, 688.60 and 392.41 is: 585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.66 : 688.60 = 392.41 : x
  2. Step 2: Convert to fraction form
    461.66/688.60 = 392.41/x
  3. Step 3: Cross multiply
    461.66x = 688.60 × 392.41
  4. Step 4: Simplify right side
    461.66x = 270,211.97
  5. Step 5: Solve for x
    x = 270,211.97/461.66
  6. Step 6: Final answer
    x = 585.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.