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Finding the Fourth Proportional to 396.78, 595.89 and 345.78

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Solution

The fourth proportional to 396.78, 595.89 and 345.78 is: 519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.78 : 595.89 = 345.78 : x
  2. Step 2: Convert to fraction form
    396.78/595.89 = 345.78/x
  3. Step 3: Cross multiply
    396.78x = 595.89 × 345.78
  4. Step 4: Simplify right side
    396.78x = 206,046.84
  5. Step 5: Solve for x
    x = 206,046.84/396.78
  6. Step 6: Final answer
    x = 519.30

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