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Finding the Fourth Proportional to 382.98, 574.47 and 109.07

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Solution

The fourth proportional to 382.98, 574.47 and 109.07 is: 163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.98 : 574.47 = 109.07 : x
  2. Step 2: Convert to fraction form
    382.98/574.47 = 109.07/x
  3. Step 3: Cross multiply
    382.98x = 574.47 × 109.07
  4. Step 4: Simplify right side
    382.98x = 62,656.90
  5. Step 5: Solve for x
    x = 62,656.90/382.98
  6. Step 6: Final answer
    x = 163.60

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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.