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Finding the Fourth Proportional to 382.71, 573.89 and 228.71

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Solution

The fourth proportional to 382.71, 573.89 and 228.71 is: 342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 573.89 = 228.71 : x
  2. Step 2: Convert to fraction form
    382.71/573.89 = 228.71/x
  3. Step 3: Cross multiply
    382.71x = 573.89 × 228.71
  4. Step 4: Simplify right side
    382.71x = 131,251.44
  5. Step 5: Solve for x
    x = 131,251.44/382.71
  6. Step 6: Final answer
    x = 342.95

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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.