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Finding the Fourth Proportional to 665.82, 998.16 and 254.67

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Solution

The fourth proportional to 665.82, 998.16 and 254.67 is: 381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.82 : 998.16 = 254.67 : x
  2. Step 2: Convert to fraction form
    665.82/998.16 = 254.67/x
  3. Step 3: Cross multiply
    665.82x = 998.16 × 254.67
  4. Step 4: Simplify right side
    665.82x = 254,201.41
  5. Step 5: Solve for x
    x = 254,201.41/665.82
  6. Step 6: Final answer
    x = 381.79

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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.