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Finding the Fourth Proportional to 512.84, 769.42 and 204.61

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Solution

The fourth proportional to 512.84, 769.42 and 204.61 is: 306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.84 : 769.42 = 204.61 : x
  2. Step 2: Convert to fraction form
    512.84/769.42 = 204.61/x
  3. Step 3: Cross multiply
    512.84x = 769.42 × 204.61
  4. Step 4: Simplify right side
    512.84x = 157,431.03
  5. Step 5: Solve for x
    x = 157,431.03/512.84
  6. Step 6: Final answer
    x = 306.98

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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.