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Finding the Fourth Proportional to 629.14, 944.06 and 320.98

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Solution

The fourth proportional to 629.14, 944.06 and 320.98 is: 481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.14 : 944.06 = 320.98 : x
  2. Step 2: Convert to fraction form
    629.14/944.06 = 320.98/x
  3. Step 3: Cross multiply
    629.14x = 944.06 × 320.98
  4. Step 4: Simplify right side
    629.14x = 303,024.38
  5. Step 5: Solve for x
    x = 303,024.38/629.14
  6. Step 6: Final answer
    x = 481.65

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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.