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Finding the Fourth Proportional to 349.39, 523.42 and 233.49

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Solution

The fourth proportional to 349.39, 523.42 and 233.49 is: 349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.39 : 523.42 = 233.49 : x
  2. Step 2: Convert to fraction form
    349.39/523.42 = 233.49/x
  3. Step 3: Cross multiply
    349.39x = 523.42 × 233.49
  4. Step 4: Simplify right side
    349.39x = 122,213.34
  5. Step 5: Solve for x
    x = 122,213.34/349.39
  6. Step 6: Final answer
    x = 349.79

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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.