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Finding the Fourth Proportional to 629.04, 944.28 and 420.96

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Solution

The fourth proportional to 629.04, 944.28 and 420.96 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.04 : 944.28 = 420.96 : x
  2. Step 2: Convert to fraction form
    629.04/944.28 = 420.96/x
  3. Step 3: Cross multiply
    629.04x = 944.28 × 420.96
  4. Step 4: Simplify right side
    629.04x = 397,504.11
  5. Step 5: Solve for x
    x = 397,504.11/629.04
  6. Step 6: Final answer
    x = 631.92

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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.