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Finding the Fourth Proportional to 490.47, 730.73 and 467.25

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Solution

The fourth proportional to 490.47, 730.73 and 467.25 is: 696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.47 : 730.73 = 467.25 : x
  2. Step 2: Convert to fraction form
    490.47/730.73 = 467.25/x
  3. Step 3: Cross multiply
    490.47x = 730.73 × 467.25
  4. Step 4: Simplify right side
    490.47x = 341,433.59
  5. Step 5: Solve for x
    x = 341,433.59/490.47
  6. Step 6: Final answer
    x = 696.14

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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.