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Finding the Fourth Proportional to 665.65, 998.25 and 254.58

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Solution

The fourth proportional to 665.65, 998.25 and 254.58 is: 381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.65 : 998.25 = 254.58 : x
  2. Step 2: Convert to fraction form
    665.65/998.25 = 254.58/x
  3. Step 3: Cross multiply
    665.65x = 998.25 × 254.58
  4. Step 4: Simplify right side
    665.65x = 254,134.49
  5. Step 5: Solve for x
    x = 254,134.49/665.65
  6. Step 6: Final answer
    x = 381.78

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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.