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Finding the Fourth Proportional to 397.45, 548.49 and 220.42

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Solution

The fourth proportional to 397.45, 548.49 and 220.42 is: 304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.45 : 548.49 = 220.42 : x
  2. Step 2: Convert to fraction form
    397.45/548.49 = 220.42/x
  3. Step 3: Cross multiply
    397.45x = 548.49 × 220.42
  4. Step 4: Simplify right side
    397.45x = 120,898.17
  5. Step 5: Solve for x
    x = 120,898.17/397.45
  6. Step 6: Final answer
    x = 304.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.