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Finding the Fourth Proportional to 272.98, 409.44 and 219.20

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Solution

The fourth proportional to 272.98, 409.44 and 219.20 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.98 : 409.44 = 219.20 : x
  2. Step 2: Convert to fraction form
    272.98/409.44 = 219.20/x
  3. Step 3: Cross multiply
    272.98x = 409.44 × 219.20
  4. Step 4: Simplify right side
    272.98x = 89,749.25
  5. Step 5: Solve for x
    x = 89,749.25/272.98
  6. Step 6: Final answer
    x = 328.78

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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.