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Finding the Fourth Proportional to 277.72, 413.86 and 269.38

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Solution

The fourth proportional to 277.72, 413.86 and 269.38 is: 401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.72 : 413.86 = 269.38 : x
  2. Step 2: Convert to fraction form
    277.72/413.86 = 269.38/x
  3. Step 3: Cross multiply
    277.72x = 413.86 × 269.38
  4. Step 4: Simplify right side
    277.72x = 111,485.61
  5. Step 5: Solve for x
    x = 111,485.61/277.72
  6. Step 6: Final answer
    x = 401.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.