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Finding the Fourth Proportional to 724.24, 999.56 and 413.84

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Solution

The fourth proportional to 724.24, 999.56 and 413.84 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.24 : 999.56 = 413.84 : x
  2. Step 2: Convert to fraction form
    724.24/999.56 = 413.84/x
  3. Step 3: Cross multiply
    724.24x = 999.56 × 413.84
  4. Step 4: Simplify right side
    724.24x = 413,657.91
  5. Step 5: Solve for x
    x = 413,657.91/724.24
  6. Step 6: Final answer
    x = 571.16

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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.