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Finding the Fourth Proportional to 490.73, 675.56 and 380.17

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Solution

The fourth proportional to 490.73, 675.56 and 380.17 is: 523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.73 : 675.56 = 380.17 : x
  2. Step 2: Convert to fraction form
    490.73/675.56 = 380.17/x
  3. Step 3: Cross multiply
    490.73x = 675.56 × 380.17
  4. Step 4: Simplify right side
    490.73x = 256,827.65
  5. Step 5: Solve for x
    x = 256,827.65/490.73
  6. Step 6: Final answer
    x = 523.36

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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.