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Finding the Fourth Proportional to 389.68, 584.02 and 206.70

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Solution

The fourth proportional to 389.68, 584.02 and 206.70 is: 309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.68 : 584.02 = 206.70 : x
  2. Step 2: Convert to fraction form
    389.68/584.02 = 206.70/x
  3. Step 3: Cross multiply
    389.68x = 584.02 × 206.70
  4. Step 4: Simplify right side
    389.68x = 120,716.93
  5. Step 5: Solve for x
    x = 120,716.93/389.68
  6. Step 6: Final answer
    x = 309.78

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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.