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Finding the Fourth Proportional to 397.28, 548.24 and 220.24

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Solution

The fourth proportional to 397.28, 548.24 and 220.24 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.28 : 548.24 = 220.24 : x
  2. Step 2: Convert to fraction form
    397.28/548.24 = 220.24/x
  3. Step 3: Cross multiply
    397.28x = 548.24 × 220.24
  4. Step 4: Simplify right side
    397.28x = 120,744.38
  5. Step 5: Solve for x
    x = 120,744.38/397.28
  6. Step 6: Final answer
    x = 303.93

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Why These Related Problems?

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