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Finding the Fourth Proportional to 512.40, 769.20 and 293.20

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Solution

The fourth proportional to 512.40, 769.20 and 293.20 is: 440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.40 : 769.20 = 293.20 : x
  2. Step 2: Convert to fraction form
    512.40/769.20 = 293.20/x
  3. Step 3: Cross multiply
    512.40x = 769.20 × 293.20
  4. Step 4: Simplify right side
    512.40x = 225,529.44
  5. Step 5: Solve for x
    x = 225,529.44/512.40
  6. Step 6: Final answer
    x = 440.14

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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.