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Finding the Fourth Proportional to 542.54, 813.80 and 217.83

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Solution

The fourth proportional to 542.54, 813.80 and 217.83 is: 326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.54 : 813.80 = 217.83 : x
  2. Step 2: Convert to fraction form
    542.54/813.80 = 217.83/x
  3. Step 3: Cross multiply
    542.54x = 813.80 × 217.83
  4. Step 4: Simplify right side
    542.54x = 177,273.65
  5. Step 5: Solve for x
    x = 177,273.65/542.54
  6. Step 6: Final answer
    x = 326.75

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