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Finding the Fourth Proportional to 490.29, 734.40 and 467.73

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Solution

The fourth proportional to 490.29, 734.40 and 467.73 is: 700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.29 : 734.40 = 467.73 : x
  2. Step 2: Convert to fraction form
    490.29/734.40 = 467.73/x
  3. Step 3: Cross multiply
    490.29x = 734.40 × 467.73
  4. Step 4: Simplify right side
    490.29x = 343,500.91
  5. Step 5: Solve for x
    x = 343,500.91/490.29
  6. Step 6: Final answer
    x = 700.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.