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Finding the Fourth Proportional to 400.29, 552.25 and 225.63

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Solution

The fourth proportional to 400.29, 552.25 and 225.63 is: 311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.29 : 552.25 = 225.63 : x
  2. Step 2: Convert to fraction form
    400.29/552.25 = 225.63/x
  3. Step 3: Cross multiply
    400.29x = 552.25 × 225.63
  4. Step 4: Simplify right side
    400.29x = 124,604.17
  5. Step 5: Solve for x
    x = 124,604.17/400.29
  6. Step 6: Final answer
    x = 311.28

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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.