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Finding the Fourth Proportional to 632.67, 871.47 and 445.85

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Solution

The fourth proportional to 632.67, 871.47 and 445.85 is: 614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 871.47 = 445.85 : x
  2. Step 2: Convert to fraction form
    632.67/871.47 = 445.85/x
  3. Step 3: Cross multiply
    632.67x = 871.47 × 445.85
  4. Step 4: Simplify right side
    632.67x = 388,540.54
  5. Step 5: Solve for x
    x = 388,540.54/632.67
  6. Step 6: Final answer
    x = 614.13

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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.