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Finding the Fourth Proportional to 523.26, 723.03 and 413.61

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Solution

The fourth proportional to 523.26, 723.03 and 413.61 is: 571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 723.03 = 413.61 : x
  2. Step 2: Convert to fraction form
    523.26/723.03 = 413.61/x
  3. Step 3: Cross multiply
    523.26x = 723.03 × 413.61
  4. Step 4: Simplify right side
    523.26x = 299,048.18
  5. Step 5: Solve for x
    x = 299,048.18/523.26
  6. Step 6: Final answer
    x = 571.51

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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.