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Finding the Fourth Proportional to 494.50, 742 and 220.78

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Solution

The fourth proportional to 494.50, 742 and 220.78 is: 331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.50 : 742 = 220.78 : x
  2. Step 2: Convert to fraction form
    494.50/742 = 220.78/x
  3. Step 3: Cross multiply
    494.50x = 742 × 220.78
  4. Step 4: Simplify right side
    494.50x = 163,818.76
  5. Step 5: Solve for x
    x = 163,818.76/494.50
  6. Step 6: Final answer
    x = 331.28

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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.