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Finding the Fourth Proportional to 382.69, 574.04 and 108.78

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Solution

The fourth proportional to 382.69, 574.04 and 108.78 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.69 : 574.04 = 108.78 : x
  2. Step 2: Convert to fraction form
    382.69/574.04 = 108.78/x
  3. Step 3: Cross multiply
    382.69x = 574.04 × 108.78
  4. Step 4: Simplify right side
    382.69x = 62,444.07
  5. Step 5: Solve for x
    x = 62,444.07/382.69
  6. Step 6: Final answer
    x = 163.17

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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.