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Finding the Fourth Proportional to 349.13, 523.85 and 212.29

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Solution

The fourth proportional to 349.13, 523.85 and 212.29 is: 318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.13 : 523.85 = 212.29 : x
  2. Step 2: Convert to fraction form
    349.13/523.85 = 212.29/x
  3. Step 3: Cross multiply
    349.13x = 523.85 × 212.29
  4. Step 4: Simplify right side
    349.13x = 111,205.75
  5. Step 5: Solve for x
    x = 111,205.75/349.13
  6. Step 6: Final answer
    x = 318.52

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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.