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Finding the Fourth Proportional to 323.88, 447.16 and 205.88

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Solution

The fourth proportional to 323.88, 447.16 and 205.88 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.88 : 447.16 = 205.88 : x
  2. Step 2: Convert to fraction form
    323.88/447.16 = 205.88/x
  3. Step 3: Cross multiply
    323.88x = 447.16 × 205.88
  4. Step 4: Simplify right side
    323.88x = 92,061.30
  5. Step 5: Solve for x
    x = 92,061.30/323.88
  6. Step 6: Final answer
    x = 284.25

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