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Finding the Fourth Proportional to 273.57, 411.97 and 241.37

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Solution

The fourth proportional to 273.57, 411.97 and 241.37 is: 363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.57 : 411.97 = 241.37 : x
  2. Step 2: Convert to fraction form
    273.57/411.97 = 241.37/x
  3. Step 3: Cross multiply
    273.57x = 411.97 × 241.37
  4. Step 4: Simplify right side
    273.57x = 99,437.20
  5. Step 5: Solve for x
    x = 99,437.20/273.57
  6. Step 6: Final answer
    x = 363.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.