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Finding the Fourth Proportional to 382.78, 574.22 and 174.51

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Solution

The fourth proportional to 382.78, 574.22 and 174.51 is: 261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 574.22 = 174.51 : x
  2. Step 2: Convert to fraction form
    382.78/574.22 = 174.51/x
  3. Step 3: Cross multiply
    382.78x = 574.22 × 174.51
  4. Step 4: Simplify right side
    382.78x = 100,207.57
  5. Step 5: Solve for x
    x = 100,207.57/382.78
  6. Step 6: Final answer
    x = 261.79

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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.