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Finding the Fourth Proportional to 490.28, 730.33 and 462.92

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Solution

The fourth proportional to 490.28, 730.33 and 462.92 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 730.33 = 462.92 : x
  2. Step 2: Convert to fraction form
    490.28/730.33 = 462.92/x
  3. Step 3: Cross multiply
    490.28x = 730.33 × 462.92
  4. Step 4: Simplify right side
    490.28x = 338,084.36
  5. Step 5: Solve for x
    x = 338,084.36/490.28
  6. Step 6: Final answer
    x = 689.57

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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.