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Finding the Fourth Proportional to 546.76, 820.30 and 217.73

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Solution

The fourth proportional to 546.76, 820.30 and 217.73 is: 326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 820.30 = 217.73 : x
  2. Step 2: Convert to fraction form
    546.76/820.30 = 217.73/x
  3. Step 3: Cross multiply
    546.76x = 820.30 × 217.73
  4. Step 4: Simplify right side
    546.76x = 178,605.43
  5. Step 5: Solve for x
    x = 178,605.43/546.76
  6. Step 6: Final answer
    x = 326.66

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