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Finding the Fourth Proportional to 297.11, 410.16 and 273.69

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Solution

The fourth proportional to 297.11, 410.16 and 273.69 is: 377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.11 : 410.16 = 273.69 : x
  2. Step 2: Convert to fraction form
    297.11/410.16 = 273.69/x
  3. Step 3: Cross multiply
    297.11x = 410.16 × 273.69
  4. Step 4: Simplify right side
    297.11x = 112,257.72
  5. Step 5: Solve for x
    x = 112,257.72/297.11
  6. Step 6: Final answer
    x = 377.83

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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.