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Finding the Fourth Proportional to 392.16, 586.92 and 280.72

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Solution

The fourth proportional to 392.16, 586.92 and 280.72 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.16 : 586.92 = 280.72 : x
  2. Step 2: Convert to fraction form
    392.16/586.92 = 280.72/x
  3. Step 3: Cross multiply
    392.16x = 586.92 × 280.72
  4. Step 4: Simplify right side
    392.16x = 164,760.18
  5. Step 5: Solve for x
    x = 164,760.18/392.16
  6. Step 6: Final answer
    x = 420.14

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