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Finding the Fourth Proportional to 413.96, 571.07 and 273.87

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Solution

The fourth proportional to 413.96, 571.07 and 273.87 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.96 : 571.07 = 273.87 : x
  2. Step 2: Convert to fraction form
    413.96/571.07 = 273.87/x
  3. Step 3: Cross multiply
    413.96x = 571.07 × 273.87
  4. Step 4: Simplify right side
    413.96x = 156,397.57
  5. Step 5: Solve for x
    x = 156,397.57/413.96
  6. Step 6: Final answer
    x = 377.81

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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.