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Finding the Fourth Proportional to 342.57, 512.28 and 255.96

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Solution

The fourth proportional to 342.57, 512.28 and 255.96 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.57 : 512.28 = 255.96 : x
  2. Step 2: Convert to fraction form
    342.57/512.28 = 255.96/x
  3. Step 3: Cross multiply
    342.57x = 512.28 × 255.96
  4. Step 4: Simplify right side
    342.57x = 131,123.19
  5. Step 5: Solve for x
    x = 131,123.19/342.57
  6. Step 6: Final answer
    x = 382.76

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