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Finding the Fourth Proportional to 638.45, 957.36 and 205.55

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Solution

The fourth proportional to 638.45, 957.36 and 205.55 is: 308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.45 : 957.36 = 205.55 : x
  2. Step 2: Convert to fraction form
    638.45/957.36 = 205.55/x
  3. Step 3: Cross multiply
    638.45x = 957.36 × 205.55
  4. Step 4: Simplify right side
    638.45x = 196,785.35
  5. Step 5: Solve for x
    x = 196,785.35/638.45
  6. Step 6: Final answer
    x = 308.22

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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.