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Finding the Fourth Proportional to 494.20, 739.70 and 350.20

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Solution

The fourth proportional to 494.20, 739.70 and 350.20 is: 524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 739.70 = 350.20 : x
  2. Step 2: Convert to fraction form
    494.20/739.70 = 350.20/x
  3. Step 3: Cross multiply
    494.20x = 739.70 × 350.20
  4. Step 4: Simplify right side
    494.20x = 259,042.94
  5. Step 5: Solve for x
    x = 259,042.94/494.20
  6. Step 6: Final answer
    x = 524.17

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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.