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Finding the Fourth Proportional to 490.69, 677.14 and 269.64

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Solution

The fourth proportional to 490.69, 677.14 and 269.64 is: 372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.69 : 677.14 = 269.64 : x
  2. Step 2: Convert to fraction form
    490.69/677.14 = 269.64/x
  3. Step 3: Cross multiply
    490.69x = 677.14 × 269.64
  4. Step 4: Simplify right side
    490.69x = 182,583.36
  5. Step 5: Solve for x
    x = 182,583.36/490.69
  6. Step 6: Final answer
    x = 372.09

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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.