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Finding the Fourth Proportional to 449.46, 620.37 and 294.21

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Solution

The fourth proportional to 449.46, 620.37 and 294.21 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 620.37 = 294.21 : x
  2. Step 2: Convert to fraction form
    449.46/620.37 = 294.21/x
  3. Step 3: Cross multiply
    449.46x = 620.37 × 294.21
  4. Step 4: Simplify right side
    449.46x = 182,519.06
  5. Step 5: Solve for x
    x = 182,519.06/449.46
  6. Step 6: Final answer
    x = 406.09

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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.