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Finding the Fourth Proportional to 382.97, 574.05 and 236.72

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Solution

The fourth proportional to 382.97, 574.05 and 236.72 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 574.05 = 236.72 : x
  2. Step 2: Convert to fraction form
    382.97/574.05 = 236.72/x
  3. Step 3: Cross multiply
    382.97x = 574.05 × 236.72
  4. Step 4: Simplify right side
    382.97x = 135,889.12
  5. Step 5: Solve for x
    x = 135,889.12/382.97
  6. Step 6: Final answer
    x = 354.83

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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.