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Finding the Fourth Proportional to 284.31, 426.46 and 78.89

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Solution

The fourth proportional to 284.31, 426.46 and 78.89 is: 118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.31 : 426.46 = 78.89 : x
  2. Step 2: Convert to fraction form
    284.31/426.46 = 78.89/x
  3. Step 3: Cross multiply
    284.31x = 426.46 × 78.89
  4. Step 4: Simplify right side
    284.31x = 33,644.30
  5. Step 5: Solve for x
    x = 33,644.30/284.31
  6. Step 6: Final answer
    x = 118.34

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