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Finding the Fourth Proportional to 644.88, 967.50 and 206.04

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Solution

The fourth proportional to 644.88, 967.50 and 206.04 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.88 : 967.50 = 206.04 : x
  2. Step 2: Convert to fraction form
    644.88/967.50 = 206.04/x
  3. Step 3: Cross multiply
    644.88x = 967.50 × 206.04
  4. Step 4: Simplify right side
    644.88x = 199,343.70
  5. Step 5: Solve for x
    x = 199,343.70/644.88
  6. Step 6: Final answer
    x = 309.12

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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.