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Finding the Fourth Proportional to 413.65, 570.82 and 227.12

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Solution

The fourth proportional to 413.65, 570.82 and 227.12 is: 313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.65 : 570.82 = 227.12 : x
  2. Step 2: Convert to fraction form
    413.65/570.82 = 227.12/x
  3. Step 3: Cross multiply
    413.65x = 570.82 × 227.12
  4. Step 4: Simplify right side
    413.65x = 129,645.50
  5. Step 5: Solve for x
    x = 129,645.50/413.65
  6. Step 6: Final answer
    x = 313.42

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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.