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Finding the Fourth Proportional to 413.27, 570.31 and 226.76

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Solution

The fourth proportional to 413.27, 570.31 and 226.76 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.27 : 570.31 = 226.76 : x
  2. Step 2: Convert to fraction form
    413.27/570.31 = 226.76/x
  3. Step 3: Cross multiply
    413.27x = 570.31 × 226.76
  4. Step 4: Simplify right side
    413.27x = 129,323.50
  5. Step 5: Solve for x
    x = 129,323.50/413.27
  6. Step 6: Final answer
    x = 312.93

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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.