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Finding the Fourth Proportional to 645.94, 969.10 and 213.14

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Solution

The fourth proportional to 645.94, 969.10 and 213.14 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 969.10 = 213.14 : x
  2. Step 2: Convert to fraction form
    645.94/969.10 = 213.14/x
  3. Step 3: Cross multiply
    645.94x = 969.10 × 213.14
  4. Step 4: Simplify right side
    645.94x = 206,553.97
  5. Step 5: Solve for x
    x = 206,553.97/645.94
  6. Step 6: Final answer
    x = 319.77

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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.