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Finding the Fourth Proportional to 301.55, 413.87 and 273.87

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Solution

The fourth proportional to 301.55, 413.87 and 273.87 is: 375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.55 : 413.87 = 273.87 : x
  2. Step 2: Convert to fraction form
    301.55/413.87 = 273.87/x
  3. Step 3: Cross multiply
    301.55x = 413.87 × 273.87
  4. Step 4: Simplify right side
    301.55x = 113,345.21
  5. Step 5: Solve for x
    x = 113,345.21/301.55
  6. Step 6: Final answer
    x = 375.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.