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Finding the Fourth Proportional to 546.95, 820.47 and 217.81

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Solution

The fourth proportional to 546.95, 820.47 and 217.81 is: 326.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 820.47 = 217.81 : x
  2. Step 2: Convert to fraction form
    546.95/820.47 = 217.81/x
  3. Step 3: Cross multiply
    546.95x = 820.47 × 217.81
  4. Step 4: Simplify right side
    546.95x = 178,703.31
  5. Step 5: Solve for x
    x = 178,703.31/546.95
  6. Step 6: Final answer
    x = 326.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.