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Finding the Fourth Proportional to 337.46, 506.09 and 200.47

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Solution

The fourth proportional to 337.46, 506.09 and 200.47 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.46 : 506.09 = 200.47 : x
  2. Step 2: Convert to fraction form
    337.46/506.09 = 200.47/x
  3. Step 3: Cross multiply
    337.46x = 506.09 × 200.47
  4. Step 4: Simplify right side
    337.46x = 101,452.33
  5. Step 5: Solve for x
    x = 101,452.33/337.46
  6. Step 6: Final answer
    x = 300.64

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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.