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Finding the Fourth Proportional to 629.44, 944.16 and 456.20

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Solution

The fourth proportional to 629.44, 944.16 and 456.20 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.44 : 944.16 = 456.20 : x
  2. Step 2: Convert to fraction form
    629.44/944.16 = 456.20/x
  3. Step 3: Cross multiply
    629.44x = 944.16 × 456.20
  4. Step 4: Simplify right side
    629.44x = 430,719.36
  5. Step 5: Solve for x
    x = 430,719.36/629.44
  6. Step 6: Final answer
    x = 684.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.