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Finding the Fourth Proportional to 449.53, 620.38 and 338.81

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Solution

The fourth proportional to 449.53, 620.38 and 338.81 is: 467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.53 : 620.38 = 338.81 : x
  2. Step 2: Convert to fraction form
    449.53/620.38 = 338.81/x
  3. Step 3: Cross multiply
    449.53x = 620.38 × 338.81
  4. Step 4: Simplify right side
    449.53x = 210,190.95
  5. Step 5: Solve for x
    x = 210,190.95/449.53
  6. Step 6: Final answer
    x = 467.58

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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.