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Finding the Fourth Proportional to 447.47, 616.87 and 327.72

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Solution

The fourth proportional to 447.47, 616.87 and 327.72 is: 451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.47 : 616.87 = 327.72 : x
  2. Step 2: Convert to fraction form
    447.47/616.87 = 327.72/x
  3. Step 3: Cross multiply
    447.47x = 616.87 × 327.72
  4. Step 4: Simplify right side
    447.47x = 202,159.82
  5. Step 5: Solve for x
    x = 202,159.82/447.47
  6. Step 6: Final answer
    x = 451.79

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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.