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Finding the Fourth Proportional to 413.89, 620.47 and 249.41

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Solution

The fourth proportional to 413.89, 620.47 and 249.41 is: 373.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.89 : 620.47 = 249.41 : x
  2. Step 2: Convert to fraction form
    413.89/620.47 = 249.41/x
  3. Step 3: Cross multiply
    413.89x = 620.47 × 249.41
  4. Step 4: Simplify right side
    413.89x = 154,751.42
  5. Step 5: Solve for x
    x = 154,751.42/413.89
  6. Step 6: Final answer
    x = 373.90

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