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Finding the Fourth Proportional to 657.44, 906.96 and 408.80

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Solution

The fourth proportional to 657.44, 906.96 and 408.80 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.44 : 906.96 = 408.80 : x
  2. Step 2: Convert to fraction form
    657.44/906.96 = 408.80/x
  3. Step 3: Cross multiply
    657.44x = 906.96 × 408.80
  4. Step 4: Simplify right side
    657.44x = 370,765.25
  5. Step 5: Solve for x
    x = 370,765.25/657.44
  6. Step 6: Final answer
    x = 563.95

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