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Finding the Fourth Proportional to 411.24, 617.70 and 330.60

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Solution

The fourth proportional to 411.24, 617.70 and 330.60 is: 496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 617.70 = 330.60 : x
  2. Step 2: Convert to fraction form
    411.24/617.70 = 330.60/x
  3. Step 3: Cross multiply
    411.24x = 617.70 × 330.60
  4. Step 4: Simplify right side
    411.24x = 204,211.62
  5. Step 5: Solve for x
    x = 204,211.62/411.24
  6. Step 6: Final answer
    x = 496.58

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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.