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Finding the Fourth Proportional to 490.52, 736.26 and 488.24

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Solution

The fourth proportional to 490.52, 736.26 and 488.24 is: 732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.52 : 736.26 = 488.24 : x
  2. Step 2: Convert to fraction form
    490.52/736.26 = 488.24/x
  3. Step 3: Cross multiply
    490.52x = 736.26 × 488.24
  4. Step 4: Simplify right side
    490.52x = 359,471.58
  5. Step 5: Solve for x
    x = 359,471.58/490.52
  6. Step 6: Final answer
    x = 732.84

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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.