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Finding the Fourth Proportional to 400.49, 552.56 and 234.76

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Solution

The fourth proportional to 400.49, 552.56 and 234.76 is: 323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.49 : 552.56 = 234.76 : x
  2. Step 2: Convert to fraction form
    400.49/552.56 = 234.76/x
  3. Step 3: Cross multiply
    400.49x = 552.56 × 234.76
  4. Step 4: Simplify right side
    400.49x = 129,719.23
  5. Step 5: Solve for x
    x = 129,719.23/400.49
  6. Step 6: Final answer
    x = 323.90

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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.