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Finding the Fourth Proportional to 490.70, 735.10 and 380.82

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Solution

The fourth proportional to 490.70, 735.10 and 380.82 is: 570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.70 : 735.10 = 380.82 : x
  2. Step 2: Convert to fraction form
    490.70/735.10 = 380.82/x
  3. Step 3: Cross multiply
    490.70x = 735.10 × 380.82
  4. Step 4: Simplify right side
    490.70x = 279,940.78
  5. Step 5: Solve for x
    x = 279,940.78/490.70
  6. Step 6: Final answer
    x = 570.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.