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Finding the Fourth Proportional to 613.62, 847.14 and 447.66

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Solution

The fourth proportional to 613.62, 847.14 and 447.66 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.62 : 847.14 = 447.66 : x
  2. Step 2: Convert to fraction form
    613.62/847.14 = 447.66/x
  3. Step 3: Cross multiply
    613.62x = 847.14 × 447.66
  4. Step 4: Simplify right side
    613.62x = 379,230.69
  5. Step 5: Solve for x
    x = 379,230.69/613.62
  6. Step 6: Final answer
    x = 618.02

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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.