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Finding the Fourth Proportional to 397.12, 546.24 and 338.80

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Solution

The fourth proportional to 397.12, 546.24 and 338.80 is: 466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 546.24 = 338.80 : x
  2. Step 2: Convert to fraction form
    397.12/546.24 = 338.80/x
  3. Step 3: Cross multiply
    397.12x = 546.24 × 338.80
  4. Step 4: Simplify right side
    397.12x = 185,066.11
  5. Step 5: Solve for x
    x = 185,066.11/397.12
  6. Step 6: Final answer
    x = 466.02

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