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Finding the Fourth Proportional to 392.94, 588.40 and 255.58

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Solution

The fourth proportional to 392.94, 588.40 and 255.58 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.94 : 588.40 = 255.58 : x
  2. Step 2: Convert to fraction form
    392.94/588.40 = 255.58/x
  3. Step 3: Cross multiply
    392.94x = 588.40 × 255.58
  4. Step 4: Simplify right side
    392.94x = 150,381.16
  5. Step 5: Solve for x
    x = 150,381.16/392.94
  6. Step 6: Final answer
    x = 382.71

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