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Finding the Fourth Proportional to 512.08, 768.20 and 341.20

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Solution

The fourth proportional to 512.08, 768.20 and 341.20 is: 511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.08 : 768.20 = 341.20 : x
  2. Step 2: Convert to fraction form
    512.08/768.20 = 341.20/x
  3. Step 3: Cross multiply
    512.08x = 768.20 × 341.20
  4. Step 4: Simplify right side
    512.08x = 262,109.84
  5. Step 5: Solve for x
    x = 262,109.84/512.08
  6. Step 6: Final answer
    x = 511.85

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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.