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Finding the Fourth Proportional to 400.12, 552.17 and 234.46

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Solution

The fourth proportional to 400.12, 552.17 and 234.46 is: 323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 552.17 = 234.46 : x
  2. Step 2: Convert to fraction form
    400.12/552.17 = 234.46/x
  3. Step 3: Cross multiply
    400.12x = 552.17 × 234.46
  4. Step 4: Simplify right side
    400.12x = 129,457.85
  5. Step 5: Solve for x
    x = 129,457.85/400.12
  6. Step 6: Final answer
    x = 323.55

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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.