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Finding the Fourth Proportional to 689.32, 951.32 and 394.62

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Solution

The fourth proportional to 689.32, 951.32 and 394.62 is: 544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.32 : 951.32 = 394.62 : x
  2. Step 2: Convert to fraction form
    689.32/951.32 = 394.62/x
  3. Step 3: Cross multiply
    689.32x = 951.32 × 394.62
  4. Step 4: Simplify right side
    689.32x = 375,409.90
  5. Step 5: Solve for x
    x = 375,409.90/689.32
  6. Step 6: Final answer
    x = 544.61

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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.