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Finding the Fourth Proportional to 632.05, 871.44 and 410.92

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Solution

The fourth proportional to 632.05, 871.44 and 410.92 is: 566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.05 : 871.44 = 410.92 : x
  2. Step 2: Convert to fraction form
    632.05/871.44 = 410.92/x
  3. Step 3: Cross multiply
    632.05x = 871.44 × 410.92
  4. Step 4: Simplify right side
    632.05x = 358,092.12
  5. Step 5: Solve for x
    x = 358,092.12/632.05
  6. Step 6: Final answer
    x = 566.56

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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.