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Finding the Fourth Proportional to 644.92, 967.37 and 212.06

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Solution

The fourth proportional to 644.92, 967.37 and 212.06 is: 318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.92 : 967.37 = 212.06 : x
  2. Step 2: Convert to fraction form
    644.92/967.37 = 212.06/x
  3. Step 3: Cross multiply
    644.92x = 967.37 × 212.06
  4. Step 4: Simplify right side
    644.92x = 205,141.84
  5. Step 5: Solve for x
    x = 205,141.84/644.92
  6. Step 6: Final answer
    x = 318.09

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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.