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Finding the Fourth Proportional to 819.15, 1,228.74 and 234.23

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Solution

The fourth proportional to 819.15, 1,228.74 and 234.23 is: 351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.15 : 1,228.74 = 234.23 : x
  2. Step 2: Convert to fraction form
    819.15/1,228.74 = 234.23/x
  3. Step 3: Cross multiply
    819.15x = 1,228.74 × 234.23
  4. Step 4: Simplify right side
    819.15x = 287,801.63
  5. Step 5: Solve for x
    x = 287,801.63/819.15
  6. Step 6: Final answer
    x = 351.34

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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.