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Finding the Fourth Proportional to 411.98, 618.03 and 206.66

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Solution

The fourth proportional to 411.98, 618.03 and 206.66 is: 310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 618.03 = 206.66 : x
  2. Step 2: Convert to fraction form
    411.98/618.03 = 206.66/x
  3. Step 3: Cross multiply
    411.98x = 618.03 × 206.66
  4. Step 4: Simplify right side
    411.98x = 127,722.08
  5. Step 5: Solve for x
    x = 127,722.08/411.98
  6. Step 6: Final answer
    x = 310.02

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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.