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Finding the Fourth Proportional to 724.07, 999.21 and 413.57

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Solution

The fourth proportional to 724.07, 999.21 and 413.57 is: 570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.07 : 999.21 = 413.57 : x
  2. Step 2: Convert to fraction form
    724.07/999.21 = 413.57/x
  3. Step 3: Cross multiply
    724.07x = 999.21 × 413.57
  4. Step 4: Simplify right side
    724.07x = 413,243.28
  5. Step 5: Solve for x
    x = 413,243.28/724.07
  6. Step 6: Final answer
    x = 570.72

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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.