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Finding the Fourth Proportional to 665.92, 999.07 and 255.09

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Solution

The fourth proportional to 665.92, 999.07 and 255.09 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.92 : 999.07 = 255.09 : x
  2. Step 2: Convert to fraction form
    665.92/999.07 = 255.09/x
  3. Step 3: Cross multiply
    665.92x = 999.07 × 255.09
  4. Step 4: Simplify right side
    665.92x = 254,852.77
  5. Step 5: Solve for x
    x = 254,852.77/665.92
  6. Step 6: Final answer
    x = 382.71

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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.