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Finding the Fourth Proportional to 724.04, 999.06 and 413.48

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Solution

The fourth proportional to 724.04, 999.06 and 413.48 is: 570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.04 : 999.06 = 413.48 : x
  2. Step 2: Convert to fraction form
    724.04/999.06 = 413.48/x
  3. Step 3: Cross multiply
    724.04x = 999.06 × 413.48
  4. Step 4: Simplify right side
    724.04x = 413,091.33
  5. Step 5: Solve for x
    x = 413,091.33/724.04
  6. Step 6: Final answer
    x = 570.54

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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.