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Finding the Fourth Proportional to 382.60, 574.17 and 218.08

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Solution

The fourth proportional to 382.60, 574.17 and 218.08 is: 327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.60 : 574.17 = 218.08 : x
  2. Step 2: Convert to fraction form
    382.60/574.17 = 218.08/x
  3. Step 3: Cross multiply
    382.60x = 574.17 × 218.08
  4. Step 4: Simplify right side
    382.60x = 125,214.99
  5. Step 5: Solve for x
    x = 125,214.99/382.60
  6. Step 6: Final answer
    x = 327.27

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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.