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Finding the Fourth Proportional to 638.61, 881.47 and 376.78

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Solution

The fourth proportional to 638.61, 881.47 and 376.78 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.61 : 881.47 = 376.78 : x
  2. Step 2: Convert to fraction form
    638.61/881.47 = 376.78/x
  3. Step 3: Cross multiply
    638.61x = 881.47 × 376.78
  4. Step 4: Simplify right side
    638.61x = 332,120.27
  5. Step 5: Solve for x
    x = 332,120.27/638.61
  6. Step 6: Final answer
    x = 520.07

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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.