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Finding the Fourth Proportional to 638.38, 954.44 and 541.96

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Solution

The fourth proportional to 638.38, 954.44 and 541.96 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.38 : 954.44 = 541.96 : x
  2. Step 2: Convert to fraction form
    638.38/954.44 = 541.96/x
  3. Step 3: Cross multiply
    638.38x = 954.44 × 541.96
  4. Step 4: Simplify right side
    638.38x = 517,268.30
  5. Step 5: Solve for x
    x = 517,268.30/638.38
  6. Step 6: Final answer
    x = 810.28

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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.