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Finding the Fourth Proportional to 413.74, 620.47 and 182.47

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Solution

The fourth proportional to 413.74, 620.47 and 182.47 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.74 : 620.47 = 182.47 : x
  2. Step 2: Convert to fraction form
    413.74/620.47 = 182.47/x
  3. Step 3: Cross multiply
    413.74x = 620.47 × 182.47
  4. Step 4: Simplify right side
    413.74x = 113,216.25
  5. Step 5: Solve for x
    x = 113,216.25/413.74
  6. Step 6: Final answer
    x = 273.64

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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.