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Finding the Fourth Proportional to 396.16, 593.60 and 280.40

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Solution

The fourth proportional to 396.16, 593.60 and 280.40 is: 420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 593.60 = 280.40 : x
  2. Step 2: Convert to fraction form
    396.16/593.60 = 280.40/x
  3. Step 3: Cross multiply
    396.16x = 593.60 × 280.40
  4. Step 4: Simplify right side
    396.16x = 166,441.07
  5. Step 5: Solve for x
    x = 166,441.07/396.16
  6. Step 6: Final answer
    x = 420.14

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