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Finding the Fourth Proportional to 413.86, 571.12 and 224.81

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Solution

The fourth proportional to 413.86, 571.12 and 224.81 is: 310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 571.12 = 224.81 : x
  2. Step 2: Convert to fraction form
    413.86/571.12 = 224.81/x
  3. Step 3: Cross multiply
    413.86x = 571.12 × 224.81
  4. Step 4: Simplify right side
    413.86x = 128,393.62
  5. Step 5: Solve for x
    x = 128,393.62/413.86
  6. Step 6: Final answer
    x = 310.23

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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.