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Finding the Fourth Proportional to 631.89, 871.92 and 410.76

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Solution

The fourth proportional to 631.89, 871.92 and 410.76 is: 566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.89 : 871.92 = 410.76 : x
  2. Step 2: Convert to fraction form
    631.89/871.92 = 410.76/x
  3. Step 3: Cross multiply
    631.89x = 871.92 × 410.76
  4. Step 4: Simplify right side
    631.89x = 358,149.86
  5. Step 5: Solve for x
    x = 358,149.86/631.89
  6. Step 6: Final answer
    x = 566.79

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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.