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Finding the Fourth Proportional to 689.89, 951.98 and 410.04

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Solution

The fourth proportional to 689.89, 951.98 and 410.04 is: 565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.89 : 951.98 = 410.04 : x
  2. Step 2: Convert to fraction form
    689.89/951.98 = 410.04/x
  3. Step 3: Cross multiply
    689.89x = 951.98 × 410.04
  4. Step 4: Simplify right side
    689.89x = 390,346.30
  5. Step 5: Solve for x
    x = 390,346.30/689.89
  6. Step 6: Final answer
    x = 565.81

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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.