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Finding the Fourth Proportional to 413.82, 620.58 and 182.70

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Solution

The fourth proportional to 413.82, 620.58 and 182.70 is: 273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 620.58 = 182.70 : x
  2. Step 2: Convert to fraction form
    413.82/620.58 = 182.70/x
  3. Step 3: Cross multiply
    413.82x = 620.58 × 182.70
  4. Step 4: Simplify right side
    413.82x = 113,379.97
  5. Step 5: Solve for x
    x = 113,379.97/413.82
  6. Step 6: Final answer
    x = 273.98

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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.