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Finding the Fourth Proportional to 337.69, 506.21 and 207.74

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Solution

The fourth proportional to 337.69, 506.21 and 207.74 is: 311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.69 : 506.21 = 207.74 : x
  2. Step 2: Convert to fraction form
    337.69/506.21 = 207.74/x
  3. Step 3: Cross multiply
    337.69x = 506.21 × 207.74
  4. Step 4: Simplify right side
    337.69x = 105,161.85
  5. Step 5: Solve for x
    x = 105,161.85/337.69
  6. Step 6: Final answer
    x = 311.42

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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.