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Finding the Fourth Proportional to 382.14, 573.18 and 219.72

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Solution

The fourth proportional to 382.14, 573.18 and 219.72 is: 329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 573.18 = 219.72 : x
  2. Step 2: Convert to fraction form
    382.14/573.18 = 219.72/x
  3. Step 3: Cross multiply
    382.14x = 573.18 × 219.72
  4. Step 4: Simplify right side
    382.14x = 125,939.11
  5. Step 5: Solve for x
    x = 125,939.11/382.14
  6. Step 6: Final answer
    x = 329.56

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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.