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Finding the Fourth Proportional to 413.97, 571.83 and 290.04

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Solution

The fourth proportional to 413.97, 571.83 and 290.04 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 571.83 = 290.04 : x
  2. Step 2: Convert to fraction form
    413.97/571.83 = 290.04/x
  3. Step 3: Cross multiply
    413.97x = 571.83 × 290.04
  4. Step 4: Simplify right side
    413.97x = 165,850.34
  5. Step 5: Solve for x
    x = 165,850.34/413.97
  6. Step 6: Final answer
    x = 400.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.