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Finding the Fourth Proportional to 413.24, 619.31 and 182.09

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Solution

The fourth proportional to 413.24, 619.31 and 182.09 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.24 : 619.31 = 182.09 : x
  2. Step 2: Convert to fraction form
    413.24/619.31 = 182.09/x
  3. Step 3: Cross multiply
    413.24x = 619.31 × 182.09
  4. Step 4: Simplify right side
    413.24x = 112,766.15
  5. Step 5: Solve for x
    x = 112,766.15/413.24
  6. Step 6: Final answer
    x = 272.89

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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.