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Finding the Fourth Proportional to 819.84, 1,229.64 and 242.70

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Solution

The fourth proportional to 819.84, 1,229.64 and 242.70 is: 364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.84 : 1,229.64 = 242.70 : x
  2. Step 2: Convert to fraction form
    819.84/1,229.64 = 242.70/x
  3. Step 3: Cross multiply
    819.84x = 1,229.64 × 242.70
  4. Step 4: Simplify right side
    819.84x = 298,433.63
  5. Step 5: Solve for x
    x = 298,433.63/819.84
  6. Step 6: Final answer
    x = 364.01

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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.