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Finding the Fourth Proportional to 449.25, 620.00 and 252.78

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Solution

The fourth proportional to 449.25, 620.00 and 252.78 is: 348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.25 : 620.00 = 252.78 : x
  2. Step 2: Convert to fraction form
    449.25/620.00 = 252.78/x
  3. Step 3: Cross multiply
    449.25x = 620.00 × 252.78
  4. Step 4: Simplify right side
    449.25x = 156,722.34
  5. Step 5: Solve for x
    x = 156,722.34/449.25
  6. Step 6: Final answer
    x = 348.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.