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Finding the Fourth Proportional to 689.56, 951.62 and 394.85

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Solution

The fourth proportional to 689.56, 951.62 and 394.85 is: 544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.56 : 951.62 = 394.85 : x
  2. Step 2: Convert to fraction form
    689.56/951.62 = 394.85/x
  3. Step 3: Cross multiply
    689.56x = 951.62 × 394.85
  4. Step 4: Simplify right side
    689.56x = 375,747.16
  5. Step 5: Solve for x
    x = 375,747.16/689.56
  6. Step 6: Final answer
    x = 544.91

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Why These Related Problems?

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