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Finding the Fourth Proportional to 349.14, 523.05 and 233.24

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Solution

The fourth proportional to 349.14, 523.05 and 233.24 is: 349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.14 : 523.05 = 233.24 : x
  2. Step 2: Convert to fraction form
    349.14/523.05 = 233.24/x
  3. Step 3: Cross multiply
    349.14x = 523.05 × 233.24
  4. Step 4: Simplify right side
    349.14x = 121,993.57
  5. Step 5: Solve for x
    x = 121,993.57/349.14
  6. Step 6: Final answer
    x = 349.41

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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.