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Finding the Fourth Proportional to 413.71, 570.90 and 227.20

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Solution

The fourth proportional to 413.71, 570.90 and 227.20 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.71 : 570.90 = 227.20 : x
  2. Step 2: Convert to fraction form
    413.71/570.90 = 227.20/x
  3. Step 3: Cross multiply
    413.71x = 570.90 × 227.20
  4. Step 4: Simplify right side
    413.71x = 129,708.48
  5. Step 5: Solve for x
    x = 129,708.48/413.71
  6. Step 6: Final answer
    x = 313.53

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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.