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Finding the Fourth Proportional to 413.70, 571.11 and 324.99

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Solution

The fourth proportional to 413.70, 571.11 and 324.99 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 571.11 = 324.99 : x
  2. Step 2: Convert to fraction form
    413.70/571.11 = 324.99/x
  3. Step 3: Cross multiply
    413.70x = 571.11 × 324.99
  4. Step 4: Simplify right side
    413.70x = 185,605.04
  5. Step 5: Solve for x
    x = 185,605.04/413.70
  6. Step 6: Final answer
    x = 448.65

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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.