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Finding the Fourth Proportional to 413.05, 569.99 and 226.54

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Solution

The fourth proportional to 413.05, 569.99 and 226.54 is: 312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.05 : 569.99 = 226.54 : x
  2. Step 2: Convert to fraction form
    413.05/569.99 = 226.54/x
  3. Step 3: Cross multiply
    413.05x = 569.99 × 226.54
  4. Step 4: Simplify right side
    413.05x = 129,123.94
  5. Step 5: Solve for x
    x = 129,123.94/413.05
  6. Step 6: Final answer
    x = 312.61

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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.