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Finding the Fourth Proportional to 392.76, 588.96 and 187.28

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Solution

The fourth proportional to 392.76, 588.96 and 187.28 is: 280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.76 : 588.96 = 187.28 : x
  2. Step 2: Convert to fraction form
    392.76/588.96 = 187.28/x
  3. Step 3: Cross multiply
    392.76x = 588.96 × 187.28
  4. Step 4: Simplify right side
    392.76x = 110,300.43
  5. Step 5: Solve for x
    x = 110,300.43/392.76
  6. Step 6: Final answer
    x = 280.83

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