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Finding the Fourth Proportional to 299.78, 413.28 and 241.46

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Solution

The fourth proportional to 299.78, 413.28 and 241.46 is: 332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 413.28 = 241.46 : x
  2. Step 2: Convert to fraction form
    299.78/413.28 = 241.46/x
  3. Step 3: Cross multiply
    299.78x = 413.28 × 241.46
  4. Step 4: Simplify right side
    299.78x = 99,790.59
  5. Step 5: Solve for x
    x = 99,790.59/299.78
  6. Step 6: Final answer
    x = 332.88

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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.