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Finding the Fourth Proportional to 638, 957.68 and 272.96

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Solution

The fourth proportional to 638, 957.68 and 272.96 is: 409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    638 : 957.68 = 272.96 : x
  2. Step 2: Convert to fraction form
    638/957.68 = 272.96/x
  3. Step 3: Cross multiply
    638x = 957.68 × 272.96
  4. Step 4: Simplify right side
    638x = 261,408.33
  5. Step 5: Solve for x
    x = 261,408.33/638
  6. Step 6: Final answer
    x = 409.73

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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.