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Finding the Fourth Proportional to 299.24, 413.19 and 237.02

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Solution

The fourth proportional to 299.24, 413.19 and 237.02 is: 327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.24 : 413.19 = 237.02 : x
  2. Step 2: Convert to fraction form
    299.24/413.19 = 237.02/x
  3. Step 3: Cross multiply
    299.24x = 413.19 × 237.02
  4. Step 4: Simplify right side
    299.24x = 97,934.29
  5. Step 5: Solve for x
    x = 97,934.29/299.24
  6. Step 6: Final answer
    x = 327.28

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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.