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Finding the Fourth Proportional to 645.25, 967.94 and 206.49

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Solution

The fourth proportional to 645.25, 967.94 and 206.49 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.25 : 967.94 = 206.49 : x
  2. Step 2: Convert to fraction form
    645.25/967.94 = 206.49/x
  3. Step 3: Cross multiply
    645.25x = 967.94 × 206.49
  4. Step 4: Simplify right side
    645.25x = 199,869.93
  5. Step 5: Solve for x
    x = 199,869.93/645.25
  6. Step 6: Final answer
    x = 309.76

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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.