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Finding the Fourth Proportional to 382.90, 574.35 and 109.00

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Solution

The fourth proportional to 382.90, 574.35 and 109.00 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 574.35 = 109.00 : x
  2. Step 2: Convert to fraction form
    382.90/574.35 = 109.00/x
  3. Step 3: Cross multiply
    382.90x = 574.35 × 109.00
  4. Step 4: Simplify right side
    382.90x = 62,601.28
  5. Step 5: Solve for x
    x = 62,601.28/382.90
  6. Step 6: Final answer
    x = 163.49

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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.