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Finding the Fourth Proportional to 490.97, 731.48 and 467.75

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Solution

The fourth proportional to 490.97, 731.48 and 467.75 is: 696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.97 : 731.48 = 467.75 : x
  2. Step 2: Convert to fraction form
    490.97/731.48 = 467.75/x
  3. Step 3: Cross multiply
    490.97x = 731.48 × 467.75
  4. Step 4: Simplify right side
    490.97x = 342,143.77
  5. Step 5: Solve for x
    x = 342,143.77/490.97
  6. Step 6: Final answer
    x = 696.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.