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Finding the Fourth Proportional to 724.02, 999.13 and 413.50

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Solution

The fourth proportional to 724.02, 999.13 and 413.50 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.02 : 999.13 = 413.50 : x
  2. Step 2: Convert to fraction form
    724.02/999.13 = 413.50/x
  3. Step 3: Cross multiply
    724.02x = 999.13 × 413.50
  4. Step 4: Simplify right side
    724.02x = 413,140.26
  5. Step 5: Solve for x
    x = 413,140.26/724.02
  6. Step 6: Final answer
    x = 570.62

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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.