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Finding the Fourth Proportional to 400.54, 552.83 and 234.80

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Solution

The fourth proportional to 400.54, 552.83 and 234.80 is: 324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.54 : 552.83 = 234.80 : x
  2. Step 2: Convert to fraction form
    400.54/552.83 = 234.80/x
  3. Step 3: Cross multiply
    400.54x = 552.83 × 234.80
  4. Step 4: Simplify right side
    400.54x = 129,801.72
  5. Step 5: Solve for x
    x = 129,801.72/400.54
  6. Step 6: Final answer
    x = 324.07

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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.