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Finding the Fourth Proportional to 382.94, 574.24 and 108.97

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Solution

The fourth proportional to 382.94, 574.24 and 108.97 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.94 : 574.24 = 108.97 : x
  2. Step 2: Convert to fraction form
    382.94/574.24 = 108.97/x
  3. Step 3: Cross multiply
    382.94x = 574.24 × 108.97
  4. Step 4: Simplify right side
    382.94x = 62,572.06
  5. Step 5: Solve for x
    x = 62,572.06/382.94
  6. Step 6: Final answer
    x = 163.40

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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.