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Finding the Fourth Proportional to 397.15, 595.71 and 180.56

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Solution

The fourth proportional to 397.15, 595.71 and 180.56 is: 270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.15 : 595.71 = 180.56 : x
  2. Step 2: Convert to fraction form
    397.15/595.71 = 180.56/x
  3. Step 3: Cross multiply
    397.15x = 595.71 × 180.56
  4. Step 4: Simplify right side
    397.15x = 107,562.89
  5. Step 5: Solve for x
    x = 107,562.89/397.15
  6. Step 6: Final answer
    x = 270.84

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