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Finding the Fourth Proportional to 490.85, 735.31 and 295.91

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Solution

The fourth proportional to 490.85, 735.31 and 295.91 is: 443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.85 : 735.31 = 295.91 : x
  2. Step 2: Convert to fraction form
    490.85/735.31 = 295.91/x
  3. Step 3: Cross multiply
    490.85x = 735.31 × 295.91
  4. Step 4: Simplify right side
    490.85x = 217,582.13
  5. Step 5: Solve for x
    x = 217,582.13/490.85
  6. Step 6: Final answer
    x = 443.27

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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.