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Finding the Fourth Proportional to 426.80, 640.20 and 409.02

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Solution

The fourth proportional to 426.80, 640.20 and 409.02 is: 613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.80 : 640.20 = 409.02 : x
  2. Step 2: Convert to fraction form
    426.80/640.20 = 409.02/x
  3. Step 3: Cross multiply
    426.80x = 640.20 × 409.02
  4. Step 4: Simplify right side
    426.80x = 261,854.60
  5. Step 5: Solve for x
    x = 261,854.60/426.80
  6. Step 6: Final answer
    x = 613.53

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