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Finding the Fourth Proportional to 382.68, 574.07 and 122.69

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Solution

The fourth proportional to 382.68, 574.07 and 122.69 is: 184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.68 : 574.07 = 122.69 : x
  2. Step 2: Convert to fraction form
    382.68/574.07 = 122.69/x
  3. Step 3: Cross multiply
    382.68x = 574.07 × 122.69
  4. Step 4: Simplify right side
    382.68x = 70,433.47
  5. Step 5: Solve for x
    x = 70,433.47/382.68
  6. Step 6: Final answer
    x = 184.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.