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Finding the Fourth Proportional to 397.75, 596.52 and 178.25

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Solution

The fourth proportional to 397.75, 596.52 and 178.25 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.75 : 596.52 = 178.25 : x
  2. Step 2: Convert to fraction form
    397.75/596.52 = 178.25/x
  3. Step 3: Cross multiply
    397.75x = 596.52 × 178.25
  4. Step 4: Simplify right side
    397.75x = 106,329.69
  5. Step 5: Solve for x
    x = 106,329.69/397.75
  6. Step 6: Final answer
    x = 267.33

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