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Finding the Fourth Proportional to 480.92, 667.04 and 461.48

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Solution

The fourth proportional to 480.92, 667.04 and 461.48 is: 640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.92 : 667.04 = 461.48 : x
  2. Step 2: Convert to fraction form
    480.92/667.04 = 461.48/x
  3. Step 3: Cross multiply
    480.92x = 667.04 × 461.48
  4. Step 4: Simplify right side
    480.92x = 307,819.98
  5. Step 5: Solve for x
    x = 307,819.98/480.92
  6. Step 6: Final answer
    x = 640.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.