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Finding the Fourth Proportional to 392.61, 589.74 and 255.87

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Solution

The fourth proportional to 392.61, 589.74 and 255.87 is: 384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.61 : 589.74 = 255.87 : x
  2. Step 2: Convert to fraction form
    392.61/589.74 = 255.87/x
  3. Step 3: Cross multiply
    392.61x = 589.74 × 255.87
  4. Step 4: Simplify right side
    392.61x = 150,896.77
  5. Step 5: Solve for x
    x = 150,896.77/392.61
  6. Step 6: Final answer
    x = 384.34

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