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Finding the Fourth Proportional to 337.23, 465.72 and 238.80

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Solution

The fourth proportional to 337.23, 465.72 and 238.80 is: 329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.23 : 465.72 = 238.80 : x
  2. Step 2: Convert to fraction form
    337.23/465.72 = 238.80/x
  3. Step 3: Cross multiply
    337.23x = 465.72 × 238.80
  4. Step 4: Simplify right side
    337.23x = 111,213.94
  5. Step 5: Solve for x
    x = 111,213.94/337.23
  6. Step 6: Final answer
    x = 329.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.