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Finding the Fourth Proportional to 392.78, 589.38 and 255.80

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Solution

The fourth proportional to 392.78, 589.38 and 255.80 is: 383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.78 : 589.38 = 255.80 : x
  2. Step 2: Convert to fraction form
    392.78/589.38 = 255.80/x
  3. Step 3: Cross multiply
    392.78x = 589.38 × 255.80
  4. Step 4: Simplify right side
    392.78x = 150,763.40
  5. Step 5: Solve for x
    x = 150,763.40/392.78
  6. Step 6: Final answer
    x = 383.84

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