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Finding the Fourth Proportional to 411.36, 617.24 and 194.68

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Solution

The fourth proportional to 411.36, 617.24 and 194.68 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 617.24 = 194.68 : x
  2. Step 2: Convert to fraction form
    411.36/617.24 = 194.68/x
  3. Step 3: Cross multiply
    411.36x = 617.24 × 194.68
  4. Step 4: Simplify right side
    411.36x = 120,164.28
  5. Step 5: Solve for x
    x = 120,164.28/411.36
  6. Step 6: Final answer
    x = 292.11

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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.