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Finding the Fourth Proportional to 546.33, 819.54 and 221.70

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Solution

The fourth proportional to 546.33, 819.54 and 221.70 is: 332.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.33 : 819.54 = 221.70 : x
  2. Step 2: Convert to fraction form
    546.33/819.54 = 221.70/x
  3. Step 3: Cross multiply
    546.33x = 819.54 × 221.70
  4. Step 4: Simplify right side
    546.33x = 181,692.02
  5. Step 5: Solve for x
    x = 181,692.02/546.33
  6. Step 6: Final answer
    x = 332.57

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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.