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Finding the Fourth Proportional to 411.49, 616.83 and 195.22

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Solution

The fourth proportional to 411.49, 616.83 and 195.22 is: 292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.49 : 616.83 = 195.22 : x
  2. Step 2: Convert to fraction form
    411.49/616.83 = 195.22/x
  3. Step 3: Cross multiply
    411.49x = 616.83 × 195.22
  4. Step 4: Simplify right side
    411.49x = 120,417.55
  5. Step 5: Solve for x
    x = 120,417.55/411.49
  6. Step 6: Final answer
    x = 292.64

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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.