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Finding the Fourth Proportional to 724.34, 999.60 and 413.84

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Solution

The fourth proportional to 724.34, 999.60 and 413.84 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.34 : 999.60 = 413.84 : x
  2. Step 2: Convert to fraction form
    724.34/999.60 = 413.84/x
  3. Step 3: Cross multiply
    724.34x = 999.60 × 413.84
  4. Step 4: Simplify right side
    724.34x = 413,674.46
  5. Step 5: Solve for x
    x = 413,674.46/724.34
  6. Step 6: Final answer
    x = 571.11

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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.