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Finding the Fourth Proportional to 400.77, 553.07 and 223.73

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Solution

The fourth proportional to 400.77, 553.07 and 223.73 is: 308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 553.07 = 223.73 : x
  2. Step 2: Convert to fraction form
    400.77/553.07 = 223.73/x
  3. Step 3: Cross multiply
    400.77x = 553.07 × 223.73
  4. Step 4: Simplify right side
    400.77x = 123,738.22
  5. Step 5: Solve for x
    x = 123,738.22/400.77
  6. Step 6: Final answer
    x = 308.75

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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.