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Finding the Fourth Proportional to 411.92, 617.21 and 249.11

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Solution

The fourth proportional to 411.92, 617.21 and 249.11 is: 373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.92 : 617.21 = 249.11 : x
  2. Step 2: Convert to fraction form
    411.92/617.21 = 249.11/x
  3. Step 3: Cross multiply
    411.92x = 617.21 × 249.11
  4. Step 4: Simplify right side
    411.92x = 153,754.41
  5. Step 5: Solve for x
    x = 153,754.41/411.92
  6. Step 6: Final answer
    x = 373.26

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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.