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Finding the Fourth Proportional to 382.74, 573.82 and 209.38

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Solution

The fourth proportional to 382.74, 573.82 and 209.38 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.74 : 573.82 = 209.38 : x
  2. Step 2: Convert to fraction form
    382.74/573.82 = 209.38/x
  3. Step 3: Cross multiply
    382.74x = 573.82 × 209.38
  4. Step 4: Simplify right side
    382.74x = 120,146.43
  5. Step 5: Solve for x
    x = 120,146.43/382.74
  6. Step 6: Final answer
    x = 313.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.