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Finding the Fourth Proportional to 724, 999.12 and 413.50

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Solution

The fourth proportional to 724, 999.12 and 413.50 is: 570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    724 : 999.12 = 413.50 : x
  2. Step 2: Convert to fraction form
    724/999.12 = 413.50/x
  3. Step 3: Cross multiply
    724x = 999.12 × 413.50
  4. Step 4: Simplify right side
    724x = 413,136.12
  5. Step 5: Solve for x
    x = 413,136.12/724
  6. Step 6: Final answer
    x = 570.63

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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.