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Finding the Fourth Proportional to 287.78, 431.96 and 255.04

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Solution

The fourth proportional to 287.78, 431.96 and 255.04 is: 382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.78 : 431.96 = 255.04 : x
  2. Step 2: Convert to fraction form
    287.78/431.96 = 255.04/x
  3. Step 3: Cross multiply
    287.78x = 431.96 × 255.04
  4. Step 4: Simplify right side
    287.78x = 110,168.72
  5. Step 5: Solve for x
    x = 110,168.72/287.78
  6. Step 6: Final answer
    x = 382.83

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