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Finding the Fourth Proportional to 461.12, 688.98 and 444.97

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Solution

The fourth proportional to 461.12, 688.98 and 444.97 is: 664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 688.98 = 444.97 : x
  2. Step 2: Convert to fraction form
    461.12/688.98 = 444.97/x
  3. Step 3: Cross multiply
    461.12x = 688.98 × 444.97
  4. Step 4: Simplify right side
    461.12x = 306,572.04
  5. Step 5: Solve for x
    x = 306,572.04/461.12
  6. Step 6: Final answer
    x = 664.85

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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.