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Finding the Fourth Proportional to 712.86, 984.23 and 447.41

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Solution

The fourth proportional to 712.86, 984.23 and 447.41 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.86 : 984.23 = 447.41 : x
  2. Step 2: Convert to fraction form
    712.86/984.23 = 447.41/x
  3. Step 3: Cross multiply
    712.86x = 984.23 × 447.41
  4. Step 4: Simplify right side
    712.86x = 440,354.34
  5. Step 5: Solve for x
    x = 440,354.34/712.86
  6. Step 6: Final answer
    x = 617.73

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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.