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Finding the Fourth Proportional to 665.57, 998.33 and 275.47

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Solution

The fourth proportional to 665.57, 998.33 and 275.47 is: 413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.57 : 998.33 = 275.47 : x
  2. Step 2: Convert to fraction form
    665.57/998.33 = 275.47/x
  3. Step 3: Cross multiply
    665.57x = 998.33 × 275.47
  4. Step 4: Simplify right side
    665.57x = 275,008.59
  5. Step 5: Solve for x
    x = 275,008.59/665.57
  6. Step 6: Final answer
    x = 413.19

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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.