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Finding the Fourth Proportional to 447.40, 616.86 and 336.52

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Solution

The fourth proportional to 447.40, 616.86 and 336.52 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.40 : 616.86 = 336.52 : x
  2. Step 2: Convert to fraction form
    447.40/616.86 = 336.52/x
  3. Step 3: Cross multiply
    447.40x = 616.86 × 336.52
  4. Step 4: Simplify right side
    447.40x = 207,585.73
  5. Step 5: Solve for x
    x = 207,585.73/447.40
  6. Step 6: Final answer
    x = 463.98

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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.