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Finding the Fourth Proportional to 413.87, 571.29 and 281.78

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Solution

The fourth proportional to 413.87, 571.29 and 281.78 is: 388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.87 : 571.29 = 281.78 : x
  2. Step 2: Convert to fraction form
    413.87/571.29 = 281.78/x
  3. Step 3: Cross multiply
    413.87x = 571.29 × 281.78
  4. Step 4: Simplify right side
    413.87x = 160,975.24
  5. Step 5: Solve for x
    x = 160,975.24/413.87
  6. Step 6: Final answer
    x = 388.96

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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.