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Finding the Fourth Proportional to 819.26, 1,228.74 and 242

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Solution

The fourth proportional to 819.26, 1,228.74 and 242 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.26 : 1,228.74 = 242 : x
  2. Step 2: Convert to fraction form
    819.26/1,228.74 = 242/x
  3. Step 3: Cross multiply
    819.26x = 1,228.74 × 242
  4. Step 4: Simplify right side
    819.26x = 297,355.08
  5. Step 5: Solve for x
    x = 297,355.08/819.26
  6. Step 6: Final answer
    x = 362.96

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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.