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Finding the Fourth Proportional to 665.22, 997.84 and 254.55

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Solution

The fourth proportional to 665.22, 997.84 and 254.55 is: 381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.22 : 997.84 = 254.55 : x
  2. Step 2: Convert to fraction form
    665.22/997.84 = 254.55/x
  3. Step 3: Cross multiply
    665.22x = 997.84 × 254.55
  4. Step 4: Simplify right side
    665.22x = 254,000.17
  5. Step 5: Solve for x
    x = 254,000.17/665.22
  6. Step 6: Final answer
    x = 381.83

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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.