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Finding the Fourth Proportional to 382.82, 575.26 and 209.62

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Solution

The fourth proportional to 382.82, 575.26 and 209.62 is: 314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.82 : 575.26 = 209.62 : x
  2. Step 2: Convert to fraction form
    382.82/575.26 = 209.62/x
  3. Step 3: Cross multiply
    382.82x = 575.26 × 209.62
  4. Step 4: Simplify right side
    382.82x = 120,586.00
  5. Step 5: Solve for x
    x = 120,586.00/382.82
  6. Step 6: Final answer
    x = 314.99

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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.