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Finding the Fourth Proportional to 400.52, 552.75 and 225.88

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Solution

The fourth proportional to 400.52, 552.75 and 225.88 is: 311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.52 : 552.75 = 225.88 : x
  2. Step 2: Convert to fraction form
    400.52/552.75 = 225.88/x
  3. Step 3: Cross multiply
    400.52x = 552.75 × 225.88
  4. Step 4: Simplify right side
    400.52x = 124,852.94
  5. Step 5: Solve for x
    x = 124,852.94/400.52
  6. Step 6: Final answer
    x = 311.73

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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.