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Finding the Fourth Proportional to 638.52, 957.82 and 205.62

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Solution

The fourth proportional to 638.52, 957.82 and 205.62 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.52 : 957.82 = 205.62 : x
  2. Step 2: Convert to fraction form
    638.52/957.82 = 205.62/x
  3. Step 3: Cross multiply
    638.52x = 957.82 × 205.62
  4. Step 4: Simplify right side
    638.52x = 196,946.95
  5. Step 5: Solve for x
    x = 196,946.95/638.52
  6. Step 6: Final answer
    x = 308.44

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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.