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Finding the Fourth Proportional to 273.75, 409.12 and 219.39

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Solution

The fourth proportional to 273.75, 409.12 and 219.39 is: 327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.75 : 409.12 = 219.39 : x
  2. Step 2: Convert to fraction form
    273.75/409.12 = 219.39/x
  3. Step 3: Cross multiply
    273.75x = 409.12 × 219.39
  4. Step 4: Simplify right side
    273.75x = 89,756.29
  5. Step 5: Solve for x
    x = 89,756.29/273.75
  6. Step 6: Final answer
    x = 327.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.