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Finding the Fourth Proportional to 819.94, 1,230.02 and 272.18

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Solution

The fourth proportional to 819.94, 1,230.02 and 272.18 is: 408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.94 : 1,230.02 = 272.18 : x
  2. Step 2: Convert to fraction form
    819.94/1,230.02 = 272.18/x
  3. Step 3: Cross multiply
    819.94x = 1,230.02 × 272.18
  4. Step 4: Simplify right side
    819.94x = 334,786.84
  5. Step 5: Solve for x
    x = 334,786.84/819.94
  6. Step 6: Final answer
    x = 408.31

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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.