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Finding the Fourth Proportional to 542.33, 813.64 and 217.92

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Solution

The fourth proportional to 542.33, 813.64 and 217.92 is: 326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.33 : 813.64 = 217.92 : x
  2. Step 2: Convert to fraction form
    542.33/813.64 = 217.92/x
  3. Step 3: Cross multiply
    542.33x = 813.64 × 217.92
  4. Step 4: Simplify right side
    542.33x = 177,307.34
  5. Step 5: Solve for x
    x = 177,307.34/542.33
  6. Step 6: Final answer
    x = 326.94

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