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Finding the Fourth Proportional to 273.04, 409.24 and 219

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Solution

The fourth proportional to 273.04, 409.24 and 219 is: 328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.04 : 409.24 = 219 : x
  2. Step 2: Convert to fraction form
    273.04/409.24 = 219/x
  3. Step 3: Cross multiply
    273.04x = 409.24 × 219
  4. Step 4: Simplify right side
    273.04x = 89,623.56
  5. Step 5: Solve for x
    x = 89,623.56/273.04
  6. Step 6: Final answer
    x = 328.24

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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.