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Finding the Fourth Proportional to 400.85, 553.21 and 223.85

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Solution

The fourth proportional to 400.85, 553.21 and 223.85 is: 308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.85 : 553.21 = 223.85 : x
  2. Step 2: Convert to fraction form
    400.85/553.21 = 223.85/x
  3. Step 3: Cross multiply
    400.85x = 553.21 × 223.85
  4. Step 4: Simplify right side
    400.85x = 123,836.06
  5. Step 5: Solve for x
    x = 123,836.06/400.85
  6. Step 6: Final answer
    x = 308.93

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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.