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Finding the Fourth Proportional to 413.49, 571.02 and 374.61

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Solution

The fourth proportional to 413.49, 571.02 and 374.61 is: 517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 571.02 = 374.61 : x
  2. Step 2: Convert to fraction form
    413.49/571.02 = 374.61/x
  3. Step 3: Cross multiply
    413.49x = 571.02 × 374.61
  4. Step 4: Simplify right side
    413.49x = 213,909.80
  5. Step 5: Solve for x
    x = 213,909.80/413.49
  6. Step 6: Final answer
    x = 517.33

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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.