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Finding the Fourth Proportional to 632.18, 871.62 and 538.76

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Solution

The fourth proportional to 632.18, 871.62 and 538.76 is: 742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.18 : 871.62 = 538.76 : x
  2. Step 2: Convert to fraction form
    632.18/871.62 = 538.76/x
  3. Step 3: Cross multiply
    632.18x = 871.62 × 538.76
  4. Step 4: Simplify right side
    632.18x = 469,593.99
  5. Step 5: Solve for x
    x = 469,593.99/632.18
  6. Step 6: Final answer
    x = 742.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.