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Finding the Fourth Proportional to 638.48, 957.54 and 422.12

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Solution

The fourth proportional to 638.48, 957.54 and 422.12 is: 633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.48 : 957.54 = 422.12 : x
  2. Step 2: Convert to fraction form
    638.48/957.54 = 422.12/x
  3. Step 3: Cross multiply
    638.48x = 957.54 × 422.12
  4. Step 4: Simplify right side
    638.48x = 404,196.78
  5. Step 5: Solve for x
    x = 404,196.78/638.48
  6. Step 6: Final answer
    x = 633.06

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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.