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Finding the Fourth Proportional to 490.24, 676.26 and 303.58

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Solution

The fourth proportional to 490.24, 676.26 and 303.58 is: 418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 676.26 = 303.58 : x
  2. Step 2: Convert to fraction form
    490.24/676.26 = 303.58/x
  3. Step 3: Cross multiply
    490.24x = 676.26 × 303.58
  4. Step 4: Simplify right side
    490.24x = 205,299.01
  5. Step 5: Solve for x
    x = 205,299.01/490.24
  6. Step 6: Final answer
    x = 418.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.