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Finding the Fourth Proportional to 413.78, 571 and 227.28

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Solution

The fourth proportional to 413.78, 571 and 227.28 is: 313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 571 = 227.28 : x
  2. Step 2: Convert to fraction form
    413.78/571 = 227.28/x
  3. Step 3: Cross multiply
    413.78x = 571 × 227.28
  4. Step 4: Simplify right side
    413.78x = 129,776.88
  5. Step 5: Solve for x
    x = 129,776.88/413.78
  6. Step 6: Final answer
    x = 313.64

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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.