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Finding the Fourth Proportional to 396, 546.72 and 258.24

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Solution

The fourth proportional to 396, 546.72 and 258.24 is: 356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 546.72 = 258.24 : x
  2. Step 2: Convert to fraction form
    396/546.72 = 258.24/x
  3. Step 3: Cross multiply
    396x = 546.72 × 258.24
  4. Step 4: Simplify right side
    396x = 141,184.97
  5. Step 5: Solve for x
    x = 141,184.97/396
  6. Step 6: Final answer
    x = 356.53

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