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Finding the Fourth Proportional to 665.56, 997.62 and 275.82

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Solution

The fourth proportional to 665.56, 997.62 and 275.82 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.56 : 997.62 = 275.82 : x
  2. Step 2: Convert to fraction form
    665.56/997.62 = 275.82/x
  3. Step 3: Cross multiply
    665.56x = 997.62 × 275.82
  4. Step 4: Simplify right side
    665.56x = 275,163.55
  5. Step 5: Solve for x
    x = 275,163.55/665.56
  6. Step 6: Final answer
    x = 413.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.