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Finding the Fourth Proportional to 724.04, 999.24 and 413.56

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Solution

The fourth proportional to 724.04, 999.24 and 413.56 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.04 : 999.24 = 413.56 : x
  2. Step 2: Convert to fraction form
    724.04/999.24 = 413.56/x
  3. Step 3: Cross multiply
    724.04x = 999.24 × 413.56
  4. Step 4: Simplify right side
    724.04x = 413,245.69
  5. Step 5: Solve for x
    x = 413,245.69/724.04
  6. Step 6: Final answer
    x = 570.75

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1.5x scale

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.