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Finding the Fourth Proportional to 447.18, 666.12 and 422.34

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Solution

The fourth proportional to 447.18, 666.12 and 422.34 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.18 : 666.12 = 422.34 : x
  2. Step 2: Convert to fraction form
    447.18/666.12 = 422.34/x
  3. Step 3: Cross multiply
    447.18x = 666.12 × 422.34
  4. Step 4: Simplify right side
    447.18x = 281,329.12
  5. Step 5: Solve for x
    x = 281,329.12/447.18
  6. Step 6: Final answer
    x = 629.12

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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.