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Finding the Fourth Proportional to 411.62, 616.38 and 274.46

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Solution

The fourth proportional to 411.62, 616.38 and 274.46 is: 410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.62 : 616.38 = 274.46 : x
  2. Step 2: Convert to fraction form
    411.62/616.38 = 274.46/x
  3. Step 3: Cross multiply
    411.62x = 616.38 × 274.46
  4. Step 4: Simplify right side
    411.62x = 169,171.65
  5. Step 5: Solve for x
    x = 169,171.65/411.62
  6. Step 6: Final answer
    x = 410.99

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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.