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Finding the Fourth Proportional to 381.20, 574.12 and 323.92

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Solution

The fourth proportional to 381.20, 574.12 and 323.92 is: 487.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 574.12 = 323.92 : x
  2. Step 2: Convert to fraction form
    381.20/574.12 = 323.92/x
  3. Step 3: Cross multiply
    381.20x = 574.12 × 323.92
  4. Step 4: Simplify right side
    381.20x = 185,968.95
  5. Step 5: Solve for x
    x = 185,968.95/381.20
  6. Step 6: Final answer
    x = 487.85

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