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Finding the Fourth Proportional to 273.02, 409.71 and 219.38

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Solution

The fourth proportional to 273.02, 409.71 and 219.38 is: 329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.02 : 409.71 = 219.38 : x
  2. Step 2: Convert to fraction form
    273.02/409.71 = 219.38/x
  3. Step 3: Cross multiply
    273.02x = 409.71 × 219.38
  4. Step 4: Simplify right side
    273.02x = 89,882.18
  5. Step 5: Solve for x
    x = 89,882.18/273.02
  6. Step 6: Final answer
    x = 329.21

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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.