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Finding the Fourth Proportional to 413.46, 571.67 and 361.58

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Solution

The fourth proportional to 413.46, 571.67 and 361.58 is: 499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 571.67 = 361.58 : x
  2. Step 2: Convert to fraction form
    413.46/571.67 = 361.58/x
  3. Step 3: Cross multiply
    413.46x = 571.67 × 361.58
  4. Step 4: Simplify right side
    413.46x = 206,704.44
  5. Step 5: Solve for x
    x = 206,704.44/413.46
  6. Step 6: Final answer
    x = 499.94

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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.