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Finding the Fourth Proportional to 638.54, 880.81 and 441.71

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Solution

The fourth proportional to 638.54, 880.81 and 441.71 is: 609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.54 : 880.81 = 441.71 : x
  2. Step 2: Convert to fraction form
    638.54/880.81 = 441.71/x
  3. Step 3: Cross multiply
    638.54x = 880.81 × 441.71
  4. Step 4: Simplify right side
    638.54x = 389,058.18
  5. Step 5: Solve for x
    x = 389,058.18/638.54
  6. Step 6: Final answer
    x = 609.30

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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.