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Finding the Fourth Proportional to 689.83, 951.89 and 406.17

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Solution

The fourth proportional to 689.83, 951.89 and 406.17 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 951.89 = 406.17 : x
  2. Step 2: Convert to fraction form
    689.83/951.89 = 406.17/x
  3. Step 3: Cross multiply
    689.83x = 951.89 × 406.17
  4. Step 4: Simplify right side
    689.83x = 386,627.13
  5. Step 5: Solve for x
    x = 386,627.13/689.83
  6. Step 6: Final answer
    x = 560.47

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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.