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Finding the Fourth Proportional to 490.76, 735.78 and 298.34

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Solution

The fourth proportional to 490.76, 735.78 and 298.34 is: 447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.76 : 735.78 = 298.34 : x
  2. Step 2: Convert to fraction form
    490.76/735.78 = 298.34/x
  3. Step 3: Cross multiply
    490.76x = 735.78 × 298.34
  4. Step 4: Simplify right side
    490.76x = 219,512.61
  5. Step 5: Solve for x
    x = 219,512.61/490.76
  6. Step 6: Final answer
    x = 447.29

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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.