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Finding the Fourth Proportional to 689.92, 952.05 and 410.27

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Solution

The fourth proportional to 689.92, 952.05 and 410.27 is: 566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.92 : 952.05 = 410.27 : x
  2. Step 2: Convert to fraction form
    689.92/952.05 = 410.27/x
  3. Step 3: Cross multiply
    689.92x = 952.05 × 410.27
  4. Step 4: Simplify right side
    689.92x = 390,594.33
  5. Step 5: Solve for x
    x = 390,594.33/689.92
  6. Step 6: Final answer
    x = 566.15

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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.