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Finding the Fourth Proportional to 382.96, 574.17 and 238.24

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Solution

The fourth proportional to 382.96, 574.17 and 238.24 is: 357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.96 : 574.17 = 238.24 : x
  2. Step 2: Convert to fraction form
    382.96/574.17 = 238.24/x
  3. Step 3: Cross multiply
    382.96x = 574.17 × 238.24
  4. Step 4: Simplify right side
    382.96x = 136,790.26
  5. Step 5: Solve for x
    x = 136,790.26/382.96
  6. Step 6: Final answer
    x = 357.19

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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.