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Finding the Fourth Proportional to 277.95, 413.79 and 276.33

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Solution

The fourth proportional to 277.95, 413.79 and 276.33 is: 411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.95 : 413.79 = 276.33 : x
  2. Step 2: Convert to fraction form
    277.95/413.79 = 276.33/x
  3. Step 3: Cross multiply
    277.95x = 413.79 × 276.33
  4. Step 4: Simplify right side
    277.95x = 114,342.59
  5. Step 5: Solve for x
    x = 114,342.59/277.95
  6. Step 6: Final answer
    x = 411.38

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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.