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Finding the Fourth Proportional to 413.49, 570.59 and 226.98

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Solution

The fourth proportional to 413.49, 570.59 and 226.98 is: 313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 570.59 = 226.98 : x
  2. Step 2: Convert to fraction form
    413.49/570.59 = 226.98/x
  3. Step 3: Cross multiply
    413.49x = 570.59 × 226.98
  4. Step 4: Simplify right side
    413.49x = 129,513.09
  5. Step 5: Solve for x
    x = 129,513.09/413.49
  6. Step 6: Final answer
    x = 313.22

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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.