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Finding the Fourth Proportional to 409.24, 613.66 and 279.44

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Solution

The fourth proportional to 409.24, 613.66 and 279.44 is: 419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 613.66 = 279.44 : x
  2. Step 2: Convert to fraction form
    409.24/613.66 = 279.44/x
  3. Step 3: Cross multiply
    409.24x = 613.66 × 279.44
  4. Step 4: Simplify right side
    409.24x = 171,481.15
  5. Step 5: Solve for x
    x = 171,481.15/409.24
  6. Step 6: Final answer
    x = 419.02

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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.