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Finding the Fourth Proportional to 638.18, 957.43 and 205.38

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Solution

The fourth proportional to 638.18, 957.43 and 205.38 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.18 : 957.43 = 205.38 : x
  2. Step 2: Convert to fraction form
    638.18/957.43 = 205.38/x
  3. Step 3: Cross multiply
    638.18x = 957.43 × 205.38
  4. Step 4: Simplify right side
    638.18x = 196,636.97
  5. Step 5: Solve for x
    x = 196,636.97/638.18
  6. Step 6: Final answer
    x = 308.12

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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.