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Finding the Fourth Proportional to 512.87, 768.29 and 339

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Solution

The fourth proportional to 512.87, 768.29 and 339 is: 507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.87 : 768.29 = 339 : x
  2. Step 2: Convert to fraction form
    512.87/768.29 = 339/x
  3. Step 3: Cross multiply
    512.87x = 768.29 × 339
  4. Step 4: Simplify right side
    512.87x = 260,450.31
  5. Step 5: Solve for x
    x = 260,450.31/512.87
  6. Step 6: Final answer
    x = 507.83

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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.