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Finding the Fourth Proportional to 821.33, 1,231.96 and 273.46

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Solution

The fourth proportional to 821.33, 1,231.96 and 273.46 is: 410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.33 : 1,231.96 = 273.46 : x
  2. Step 2: Convert to fraction form
    821.33/1,231.96 = 273.46/x
  3. Step 3: Cross multiply
    821.33x = 1,231.96 × 273.46
  4. Step 4: Simplify right side
    821.33x = 336,891.78
  5. Step 5: Solve for x
    x = 336,891.78/821.33
  6. Step 6: Final answer
    x = 410.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.