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Finding the Fourth Proportional to 400.78, 552.94 and 223.71

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Solution

The fourth proportional to 400.78, 552.94 and 223.71 is: 308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 552.94 = 223.71 : x
  2. Step 2: Convert to fraction form
    400.78/552.94 = 223.71/x
  3. Step 3: Cross multiply
    400.78x = 552.94 × 223.71
  4. Step 4: Simplify right side
    400.78x = 123,696.98
  5. Step 5: Solve for x
    x = 123,696.98/400.78
  6. Step 6: Final answer
    x = 308.64

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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.