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Finding the Fourth Proportional to 512.71, 769.12 and 200.36

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Solution

The fourth proportional to 512.71, 769.12 and 200.36 is: 300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.71 : 769.12 = 200.36 : x
  2. Step 2: Convert to fraction form
    512.71/769.12 = 200.36/x
  3. Step 3: Cross multiply
    512.71x = 769.12 × 200.36
  4. Step 4: Simplify right side
    512.71x = 154,100.88
  5. Step 5: Solve for x
    x = 154,100.88/512.71
  6. Step 6: Final answer
    x = 300.56

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Double scale
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Similar ratio
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1.5x scale

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.