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Finding the Fourth Proportional to 382.93, 573.78 and 218.09

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Solution

The fourth proportional to 382.93, 573.78 and 218.09 is: 326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.93 : 573.78 = 218.09 : x
  2. Step 2: Convert to fraction form
    382.93/573.78 = 218.09/x
  3. Step 3: Cross multiply
    382.93x = 573.78 × 218.09
  4. Step 4: Simplify right side
    382.93x = 125,137.93
  5. Step 5: Solve for x
    x = 125,137.93/382.93
  6. Step 6: Final answer
    x = 326.79

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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.