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Finding the Fourth Proportional to 411.79, 617.68 and 119.30

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Solution

The fourth proportional to 411.79, 617.68 and 119.30 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.79 : 617.68 = 119.30 : x
  2. Step 2: Convert to fraction form
    411.79/617.68 = 119.30/x
  3. Step 3: Cross multiply
    411.79x = 617.68 × 119.30
  4. Step 4: Simplify right side
    411.79x = 73,685.84
  5. Step 5: Solve for x
    x = 73,685.84/411.79
  6. Step 6: Final answer
    x = 178.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.