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Finding the Fourth Proportional to 724.42, 999.75 and 413.92

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Solution

The fourth proportional to 724.42, 999.75 and 413.92 is: 571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 999.75 = 413.92 : x
  2. Step 2: Convert to fraction form
    724.42/999.75 = 413.92/x
  3. Step 3: Cross multiply
    724.42x = 999.75 × 413.92
  4. Step 4: Simplify right side
    724.42x = 413,816.52
  5. Step 5: Solve for x
    x = 413,816.52/724.42
  6. Step 6: Final answer
    x = 571.24

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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.