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Finding the Fourth Proportional to 382.50, 573.71 and 226.42

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Solution

The fourth proportional to 382.50, 573.71 and 226.42 is: 339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 573.71 = 226.42 : x
  2. Step 2: Convert to fraction form
    382.50/573.71 = 226.42/x
  3. Step 3: Cross multiply
    382.50x = 573.71 × 226.42
  4. Step 4: Simplify right side
    382.50x = 129,900.28
  5. Step 5: Solve for x
    x = 129,900.28/382.50
  6. Step 6: Final answer
    x = 339.61

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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.