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Finding the Fourth Proportional to 382.96, 574.36 and 109.04

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Solution

The fourth proportional to 382.96, 574.36 and 109.04 is: 163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.96 : 574.36 = 109.04 : x
  2. Step 2: Convert to fraction form
    382.96/574.36 = 109.04/x
  3. Step 3: Cross multiply
    382.96x = 574.36 × 109.04
  4. Step 4: Simplify right side
    382.96x = 62,628.21
  5. Step 5: Solve for x
    x = 62,628.21/382.96
  6. Step 6: Final answer
    x = 163.54

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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.