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Finding the Fourth Proportional to 413.90, 620.94 and 208.46

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Solution

The fourth proportional to 413.90, 620.94 and 208.46 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.90 : 620.94 = 208.46 : x
  2. Step 2: Convert to fraction form
    413.90/620.94 = 208.46/x
  3. Step 3: Cross multiply
    413.90x = 620.94 × 208.46
  4. Step 4: Simplify right side
    413.90x = 129,441.15
  5. Step 5: Solve for x
    x = 129,441.15/413.90
  6. Step 6: Final answer
    x = 312.74

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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.