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Finding the Fourth Proportional to 512, 767.84 and 203.94

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Solution

The fourth proportional to 512, 767.84 and 203.94 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512 : 767.84 = 203.94 : x
  2. Step 2: Convert to fraction form
    512/767.84 = 203.94/x
  3. Step 3: Cross multiply
    512x = 767.84 × 203.94
  4. Step 4: Simplify right side
    512x = 156,593.29
  5. Step 5: Solve for x
    x = 156,593.29/512
  6. Step 6: Final answer
    x = 305.85

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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.