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Finding the Fourth Proportional to 382.83, 574.31 and 108.91

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Solution

The fourth proportional to 382.83, 574.31 and 108.91 is: 163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.83 : 574.31 = 108.91 : x
  2. Step 2: Convert to fraction form
    382.83/574.31 = 108.91/x
  3. Step 3: Cross multiply
    382.83x = 574.31 × 108.91
  4. Step 4: Simplify right side
    382.83x = 62,548.10
  5. Step 5: Solve for x
    x = 62,548.10/382.83
  6. Step 6: Final answer
    x = 163.38

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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.