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Finding the Fourth Proportional to 490.36, 676.70 and 269.33

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Solution

The fourth proportional to 490.36, 676.70 and 269.33 is: 371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.36 : 676.70 = 269.33 : x
  2. Step 2: Convert to fraction form
    490.36/676.70 = 269.33/x
  3. Step 3: Cross multiply
    490.36x = 676.70 × 269.33
  4. Step 4: Simplify right side
    490.36x = 182,253.41
  5. Step 5: Solve for x
    x = 182,253.41/490.36
  6. Step 6: Final answer
    x = 371.67

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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.