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Finding the Fourth Proportional to 413.93, 571.21 and 236.89

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Solution

The fourth proportional to 413.93, 571.21 and 236.89 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.93 : 571.21 = 236.89 : x
  2. Step 2: Convert to fraction form
    413.93/571.21 = 236.89/x
  3. Step 3: Cross multiply
    413.93x = 571.21 × 236.89
  4. Step 4: Simplify right side
    413.93x = 135,311.92
  5. Step 5: Solve for x
    x = 135,311.92/413.93
  6. Step 6: Final answer
    x = 326.90

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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.