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Finding the Fourth Proportional to 299.71, 413.13 and 274.60

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Solution

The fourth proportional to 299.71, 413.13 and 274.60 is: 378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.71 : 413.13 = 274.60 : x
  2. Step 2: Convert to fraction form
    299.71/413.13 = 274.60/x
  3. Step 3: Cross multiply
    299.71x = 413.13 × 274.60
  4. Step 4: Simplify right side
    299.71x = 113,445.50
  5. Step 5: Solve for x
    x = 113,445.50/299.71
  6. Step 6: Final answer
    x = 378.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.