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Finding the Fourth Proportional to 446.31, 665.58 and 422.07

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Solution

The fourth proportional to 446.31, 665.58 and 422.07 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.31 : 665.58 = 422.07 : x
  2. Step 2: Convert to fraction form
    446.31/665.58 = 422.07/x
  3. Step 3: Cross multiply
    446.31x = 665.58 × 422.07
  4. Step 4: Simplify right side
    446.31x = 280,921.35
  5. Step 5: Solve for x
    x = 280,921.35/446.31
  6. Step 6: Final answer
    x = 629.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.