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Finding the Fourth Proportional to 408.78, 563.31 and 268.74

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Solution

The fourth proportional to 408.78, 563.31 and 268.74 is: 370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.78 : 563.31 = 268.74 : x
  2. Step 2: Convert to fraction form
    408.78/563.31 = 268.74/x
  3. Step 3: Cross multiply
    408.78x = 563.31 × 268.74
  4. Step 4: Simplify right side
    408.78x = 151,383.93
  5. Step 5: Solve for x
    x = 151,383.93/408.78
  6. Step 6: Final answer
    x = 370.33

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