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Finding the Fourth Proportional to 400.67, 553.07 and 234.88

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Solution

The fourth proportional to 400.67, 553.07 and 234.88 is: 324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.67 : 553.07 = 234.88 : x
  2. Step 2: Convert to fraction form
    400.67/553.07 = 234.88/x
  3. Step 3: Cross multiply
    400.67x = 553.07 × 234.88
  4. Step 4: Simplify right side
    400.67x = 129,904.29
  5. Step 5: Solve for x
    x = 129,904.29/400.67
  6. Step 6: Final answer
    x = 324.22

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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.