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Finding the Fourth Proportional to 396.78, 594.86 and 180.24

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Solution

The fourth proportional to 396.78, 594.86 and 180.24 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.78 : 594.86 = 180.24 : x
  2. Step 2: Convert to fraction form
    396.78/594.86 = 180.24/x
  3. Step 3: Cross multiply
    396.78x = 594.86 × 180.24
  4. Step 4: Simplify right side
    396.78x = 107,217.57
  5. Step 5: Solve for x
    x = 107,217.57/396.78
  6. Step 6: Final answer
    x = 270.22

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