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Finding the Fourth Proportional to 413.27, 619.49 and 182.28

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Solution

The fourth proportional to 413.27, 619.49 and 182.28 is: 273.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.27 : 619.49 = 182.28 : x
  2. Step 2: Convert to fraction form
    413.27/619.49 = 182.28/x
  3. Step 3: Cross multiply
    413.27x = 619.49 × 182.28
  4. Step 4: Simplify right side
    413.27x = 112,921.09
  5. Step 5: Solve for x
    x = 112,921.09/413.27
  6. Step 6: Final answer
    x = 273.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.