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Finding the Fourth Proportional to 645.62, 968.41 and 206.89

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Solution

The fourth proportional to 645.62, 968.41 and 206.89 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.62 : 968.41 = 206.89 : x
  2. Step 2: Convert to fraction form
    645.62/968.41 = 206.89/x
  3. Step 3: Cross multiply
    645.62x = 968.41 × 206.89
  4. Step 4: Simplify right side
    645.62x = 200,351.02
  5. Step 5: Solve for x
    x = 200,351.02/645.62
  6. Step 6: Final answer
    x = 310.32

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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.