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Finding the Fourth Proportional to 392.31, 588.66 and 255.69

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Solution

The fourth proportional to 392.31, 588.66 and 255.69 is: 383.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.31 : 588.66 = 255.69 : x
  2. Step 2: Convert to fraction form
    392.31/588.66 = 255.69/x
  3. Step 3: Cross multiply
    392.31x = 588.66 × 255.69
  4. Step 4: Simplify right side
    392.31x = 150,514.48
  5. Step 5: Solve for x
    x = 150,514.48/392.31
  6. Step 6: Final answer
    x = 383.66

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