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Finding the Fourth Proportional to 512.13, 768.97 and 409.11

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Solution

The fourth proportional to 512.13, 768.97 and 409.11 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.13 : 768.97 = 409.11 : x
  2. Step 2: Convert to fraction form
    512.13/768.97 = 409.11/x
  3. Step 3: Cross multiply
    512.13x = 768.97 × 409.11
  4. Step 4: Simplify right side
    512.13x = 314,588.64
  5. Step 5: Solve for x
    x = 314,588.64/512.13
  6. Step 6: Final answer
    x = 614.28

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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.