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Finding the Fourth Proportional to 638.94, 883.46 and 609.38

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Solution

The fourth proportional to 638.94, 883.46 and 609.38 is: 842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.94 : 883.46 = 609.38 : x
  2. Step 2: Convert to fraction form
    638.94/883.46 = 609.38/x
  3. Step 3: Cross multiply
    638.94x = 883.46 × 609.38
  4. Step 4: Simplify right side
    638.94x = 538,359.96
  5. Step 5: Solve for x
    x = 538,359.96/638.94
  6. Step 6: Final answer
    x = 842.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.