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Finding the Fourth Proportional to 413.18, 570.19 and 226.69

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Solution

The fourth proportional to 413.18, 570.19 and 226.69 is: 312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.18 : 570.19 = 226.69 : x
  2. Step 2: Convert to fraction form
    413.18/570.19 = 226.69/x
  3. Step 3: Cross multiply
    413.18x = 570.19 × 226.69
  4. Step 4: Simplify right side
    413.18x = 129,254.38
  5. Step 5: Solve for x
    x = 129,254.38/413.18
  6. Step 6: Final answer
    x = 312.83

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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.