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Finding the Fourth Proportional to 397.12, 595.92 and 180.88

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Solution

The fourth proportional to 397.12, 595.92 and 180.88 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 595.92 = 180.88 : x
  2. Step 2: Convert to fraction form
    397.12/595.92 = 180.88/x
  3. Step 3: Cross multiply
    397.12x = 595.92 × 180.88
  4. Step 4: Simplify right side
    397.12x = 107,790.01
  5. Step 5: Solve for x
    x = 107,790.01/397.12
  6. Step 6: Final answer
    x = 271.43

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