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Finding the Fourth Proportional to 689.68, 951.72 and 394.96

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Solution

The fourth proportional to 689.68, 951.72 and 394.96 is: 545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.68 : 951.72 = 394.96 : x
  2. Step 2: Convert to fraction form
    689.68/951.72 = 394.96/x
  3. Step 3: Cross multiply
    689.68x = 951.72 × 394.96
  4. Step 4: Simplify right side
    689.68x = 375,891.33
  5. Step 5: Solve for x
    x = 375,891.33/689.68
  6. Step 6: Final answer
    x = 545.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.