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Finding the Fourth Proportional to 819.72, 1,229.22 and 271.80

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Solution

The fourth proportional to 819.72, 1,229.22 and 271.80 is: 407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.72 : 1,229.22 = 271.80 : x
  2. Step 2: Convert to fraction form
    819.72/1,229.22 = 271.80/x
  3. Step 3: Cross multiply
    819.72x = 1,229.22 × 271.80
  4. Step 4: Simplify right side
    819.72x = 334,102.00
  5. Step 5: Solve for x
    x = 334,102.00/819.72
  6. Step 6: Final answer
    x = 407.58

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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.