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Finding the Fourth Proportional to 490.70, 677.16 and 269.64

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Solution

The fourth proportional to 490.70, 677.16 and 269.64 is: 372.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 677.16 = 269.64 : x
  2. Step 2: Convert to fraction form
    490.70/677.16 = 269.64/x
  3. Step 3: Cross multiply
    490.70x = 677.16 × 269.64
  4. Step 4: Simplify right side
    490.70x = 182,589.42
  5. Step 5: Solve for x
    x = 182,589.42/490.70
  6. Step 6: Final answer
    x = 372.10

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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.