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Finding the Fourth Proportional to 449.60, 621.24 and 422.96

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Solution

The fourth proportional to 449.60, 621.24 and 422.96 is: 584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 621.24 = 422.96 : x
  2. Step 2: Convert to fraction form
    449.60/621.24 = 422.96/x
  3. Step 3: Cross multiply
    449.60x = 621.24 × 422.96
  4. Step 4: Simplify right side
    449.60x = 262,759.67
  5. Step 5: Solve for x
    x = 262,759.67/449.60
  6. Step 6: Final answer
    x = 584.43

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