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Finding the Fourth Proportional to 277.40, 413.09 and 270.20

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Solution

The fourth proportional to 277.40, 413.09 and 270.20 is: 402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 413.09 = 270.20 : x
  2. Step 2: Convert to fraction form
    277.40/413.09 = 270.20/x
  3. Step 3: Cross multiply
    277.40x = 413.09 × 270.20
  4. Step 4: Simplify right side
    277.40x = 111,616.92
  5. Step 5: Solve for x
    x = 111,616.92/277.40
  6. Step 6: Final answer
    x = 402.37

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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.