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Finding the Fourth Proportional to 819.78, 1,230.10 and 272.10

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Solution

The fourth proportional to 819.78, 1,230.10 and 272.10 is: 408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.78 : 1,230.10 = 272.10 : x
  2. Step 2: Convert to fraction form
    819.78/1,230.10 = 272.10/x
  3. Step 3: Cross multiply
    819.78x = 1,230.10 × 272.10
  4. Step 4: Simplify right side
    819.78x = 334,710.21
  5. Step 5: Solve for x
    x = 334,710.21/819.78
  6. Step 6: Final answer
    x = 408.29

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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.