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Finding the Fourth Proportional to 819.40, 1,228.97 and 271.64

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Solution

The fourth proportional to 819.40, 1,228.97 and 271.64 is: 407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.40 : 1,228.97 = 271.64 : x
  2. Step 2: Convert to fraction form
    819.40/1,228.97 = 271.64/x
  3. Step 3: Cross multiply
    819.40x = 1,228.97 × 271.64
  4. Step 4: Simplify right side
    819.40x = 333,832.98
  5. Step 5: Solve for x
    x = 333,832.98/819.40
  6. Step 6: Final answer
    x = 407.41

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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.