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Finding the Fourth Proportional to 512.80, 768.19 and 338.93

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Solution

The fourth proportional to 512.80, 768.19 and 338.93 is: 507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 768.19 = 338.93 : x
  2. Step 2: Convert to fraction form
    512.80/768.19 = 338.93/x
  3. Step 3: Cross multiply
    512.80x = 768.19 × 338.93
  4. Step 4: Simplify right side
    512.80x = 260,362.64
  5. Step 5: Solve for x
    x = 260,362.64/512.80
  6. Step 6: Final answer
    x = 507.73

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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.