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Finding the Fourth Proportional to 277.25, 413.33 and 246.26

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Solution

The fourth proportional to 277.25, 413.33 and 246.26 is: 367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.25 : 413.33 = 246.26 : x
  2. Step 2: Convert to fraction form
    277.25/413.33 = 246.26/x
  3. Step 3: Cross multiply
    277.25x = 413.33 × 246.26
  4. Step 4: Simplify right side
    277.25x = 101,786.45
  5. Step 5: Solve for x
    x = 101,786.45/277.25
  6. Step 6: Final answer
    x = 367.14

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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.