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Finding the Fourth Proportional to 638.53, 957.89 and 205.59

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Solution

The fourth proportional to 638.53, 957.89 and 205.59 is: 308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.53 : 957.89 = 205.59 : x
  2. Step 2: Convert to fraction form
    638.53/957.89 = 205.59/x
  3. Step 3: Cross multiply
    638.53x = 957.89 × 205.59
  4. Step 4: Simplify right side
    638.53x = 196,926.79
  5. Step 5: Solve for x
    x = 196,926.79/638.53
  6. Step 6: Final answer
    x = 308.41

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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.