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Finding the Fourth Proportional to 400.40, 552.56 and 225.76

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Solution

The fourth proportional to 400.40, 552.56 and 225.76 is: 311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.40 : 552.56 = 225.76 : x
  2. Step 2: Convert to fraction form
    400.40/552.56 = 225.76/x
  3. Step 3: Cross multiply
    400.40x = 552.56 × 225.76
  4. Step 4: Simplify right side
    400.40x = 124,745.95
  5. Step 5: Solve for x
    x = 124,745.95/400.40
  6. Step 6: Final answer
    x = 311.55

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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.