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Finding the Fourth Proportional to 301.49, 414.60 and 241.73

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Solution

The fourth proportional to 301.49, 414.60 and 241.73 is: 332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.49 : 414.60 = 241.73 : x
  2. Step 2: Convert to fraction form
    301.49/414.60 = 241.73/x
  3. Step 3: Cross multiply
    301.49x = 414.60 × 241.73
  4. Step 4: Simplify right side
    301.49x = 100,221.26
  5. Step 5: Solve for x
    x = 100,221.26/301.49
  6. Step 6: Final answer
    x = 332.42

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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.