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Finding the Fourth Proportional to 490.62, 736.20 and 295.14

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Solution

The fourth proportional to 490.62, 736.20 and 295.14 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.62 : 736.20 = 295.14 : x
  2. Step 2: Convert to fraction form
    490.62/736.20 = 295.14/x
  3. Step 3: Cross multiply
    490.62x = 736.20 × 295.14
  4. Step 4: Simplify right side
    490.62x = 217,282.07
  5. Step 5: Solve for x
    x = 217,282.07/490.62
  6. Step 6: Final answer
    x = 442.87

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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.