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Finding the Fourth Proportional to 611.10, 843.34 and 349.14

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Solution

The fourth proportional to 611.10, 843.34 and 349.14 is: 481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.10 : 843.34 = 349.14 : x
  2. Step 2: Convert to fraction form
    611.10/843.34 = 349.14/x
  3. Step 3: Cross multiply
    611.10x = 843.34 × 349.14
  4. Step 4: Simplify right side
    611.10x = 294,443.73
  5. Step 5: Solve for x
    x = 294,443.73/611.10
  6. Step 6: Final answer
    x = 481.83

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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.