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Finding the Fourth Proportional to 400.46, 552.61 and 223.44

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Solution

The fourth proportional to 400.46, 552.61 and 223.44 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.46 : 552.61 = 223.44 : x
  2. Step 2: Convert to fraction form
    400.46/552.61 = 223.44/x
  3. Step 3: Cross multiply
    400.46x = 552.61 × 223.44
  4. Step 4: Simplify right side
    400.46x = 123,471.30
  5. Step 5: Solve for x
    x = 123,471.30/400.46
  6. Step 6: Final answer
    x = 308.33

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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.