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Finding the Fourth Proportional to 400.45, 552.57 and 234.66

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Solution

The fourth proportional to 400.45, 552.57 and 234.66 is: 323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.45 : 552.57 = 234.66 : x
  2. Step 2: Convert to fraction form
    400.45/552.57 = 234.66/x
  3. Step 3: Cross multiply
    400.45x = 552.57 × 234.66
  4. Step 4: Simplify right side
    400.45x = 129,663.93
  5. Step 5: Solve for x
    x = 129,663.93/400.45
  6. Step 6: Final answer
    x = 323.79

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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.