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Finding the Fourth Proportional to 447.84, 616.54 and 337.12

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Solution

The fourth proportional to 447.84, 616.54 and 337.12 is: 464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 616.54 = 337.12 : x
  2. Step 2: Convert to fraction form
    447.84/616.54 = 337.12/x
  3. Step 3: Cross multiply
    447.84x = 616.54 × 337.12
  4. Step 4: Simplify right side
    447.84x = 207,847.96
  5. Step 5: Solve for x
    x = 207,847.96/447.84
  6. Step 6: Final answer
    x = 464.11

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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.