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Finding the Fourth Proportional to 404.11, 604.97 and 273.77

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Solution

The fourth proportional to 404.11, 604.97 and 273.77 is: 409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.11 : 604.97 = 273.77 : x
  2. Step 2: Convert to fraction form
    404.11/604.97 = 273.77/x
  3. Step 3: Cross multiply
    404.11x = 604.97 × 273.77
  4. Step 4: Simplify right side
    404.11x = 165,622.57
  5. Step 5: Solve for x
    x = 165,622.57/404.11
  6. Step 6: Final answer
    x = 409.84

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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.