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Finding the Fourth Proportional to 382.89, 574.37 and 122.83

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Solution

The fourth proportional to 382.89, 574.37 and 122.83 is: 184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.89 : 574.37 = 122.83 : x
  2. Step 2: Convert to fraction form
    382.89/574.37 = 122.83/x
  3. Step 3: Cross multiply
    382.89x = 574.37 × 122.83
  4. Step 4: Simplify right side
    382.89x = 70,548.74
  5. Step 5: Solve for x
    x = 70,548.74/382.89
  6. Step 6: Final answer
    x = 184.26

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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.