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Finding the Fourth Proportional to 689.61, 951.69 and 410.09

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Solution

The fourth proportional to 689.61, 951.69 and 410.09 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.61 : 951.69 = 410.09 : x
  2. Step 2: Convert to fraction form
    689.61/951.69 = 410.09/x
  3. Step 3: Cross multiply
    689.61x = 951.69 × 410.09
  4. Step 4: Simplify right side
    689.61x = 390,273.79
  5. Step 5: Solve for x
    x = 390,273.79/689.61
  6. Step 6: Final answer
    x = 565.93

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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.