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Finding the Fourth Proportional to 413.66, 570.82 and 227.14

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Solution

The fourth proportional to 413.66, 570.82 and 227.14 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 570.82 = 227.14 : x
  2. Step 2: Convert to fraction form
    413.66/570.82 = 227.14/x
  3. Step 3: Cross multiply
    413.66x = 570.82 × 227.14
  4. Step 4: Simplify right side
    413.66x = 129,656.05
  5. Step 5: Solve for x
    x = 129,656.05/413.66
  6. Step 6: Final answer
    x = 313.44

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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.