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Finding the Fourth Proportional to 413.96, 571.44 and 274.14

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Solution

The fourth proportional to 413.96, 571.44 and 274.14 is: 378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.96 : 571.44 = 274.14 : x
  2. Step 2: Convert to fraction form
    413.96/571.44 = 274.14/x
  3. Step 3: Cross multiply
    413.96x = 571.44 × 274.14
  4. Step 4: Simplify right side
    413.96x = 156,654.56
  5. Step 5: Solve for x
    x = 156,654.56/413.96
  6. Step 6: Final answer
    x = 378.43

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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.