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Finding the Fourth Proportional to 408.90, 613.43 and 177.75

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Solution

The fourth proportional to 408.90, 613.43 and 177.75 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 613.43 = 177.75 : x
  2. Step 2: Convert to fraction form
    408.90/613.43 = 177.75/x
  3. Step 3: Cross multiply
    408.90x = 613.43 × 177.75
  4. Step 4: Simplify right side
    408.90x = 109,037.18
  5. Step 5: Solve for x
    x = 109,037.18/408.90
  6. Step 6: Final answer
    x = 266.66

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