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Finding the Fourth Proportional to 449.21, 620.06 and 262.79

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Solution

The fourth proportional to 449.21, 620.06 and 262.79 is: 362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.21 : 620.06 = 262.79 : x
  2. Step 2: Convert to fraction form
    449.21/620.06 = 262.79/x
  3. Step 3: Cross multiply
    449.21x = 620.06 × 262.79
  4. Step 4: Simplify right side
    449.21x = 162,946.97
  5. Step 5: Solve for x
    x = 162,946.97/449.21
  6. Step 6: Final answer
    x = 362.74

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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.