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Finding the Fourth Proportional to 644.78, 967.38 and 206.10

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Solution

The fourth proportional to 644.78, 967.38 and 206.10 is: 309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.78 : 967.38 = 206.10 : x
  2. Step 2: Convert to fraction form
    644.78/967.38 = 206.10/x
  3. Step 3: Cross multiply
    644.78x = 967.38 × 206.10
  4. Step 4: Simplify right side
    644.78x = 199,377.02
  5. Step 5: Solve for x
    x = 199,377.02/644.78
  6. Step 6: Final answer
    x = 309.22

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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.