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Finding the Fourth Proportional to 512.89, 769.77 and 204.96

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Solution

The fourth proportional to 512.89, 769.77 and 204.96 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 769.77 = 204.96 : x
  2. Step 2: Convert to fraction form
    512.89/769.77 = 204.96/x
  3. Step 3: Cross multiply
    512.89x = 769.77 × 204.96
  4. Step 4: Simplify right side
    512.89x = 157,767.19
  5. Step 5: Solve for x
    x = 157,767.19/512.89
  6. Step 6: Final answer
    x = 307.61

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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.