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Finding the Fourth Proportional to 640.92, 884.58 and 378.92

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Solution

The fourth proportional to 640.92, 884.58 and 378.92 is: 522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.92 : 884.58 = 378.92 : x
  2. Step 2: Convert to fraction form
    640.92/884.58 = 378.92/x
  3. Step 3: Cross multiply
    640.92x = 884.58 × 378.92
  4. Step 4: Simplify right side
    640.92x = 335,185.05
  5. Step 5: Solve for x
    x = 335,185.05/640.92
  6. Step 6: Final answer
    x = 522.97

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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.