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Finding the Fourth Proportional to 629.13, 943.16 and 299.89

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Solution

The fourth proportional to 629.13, 943.16 and 299.89 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.13 : 943.16 = 299.89 : x
  2. Step 2: Convert to fraction form
    629.13/943.16 = 299.89/x
  3. Step 3: Cross multiply
    629.13x = 943.16 × 299.89
  4. Step 4: Simplify right side
    629.13x = 282,844.25
  5. Step 5: Solve for x
    x = 282,844.25/629.13
  6. Step 6: Final answer
    x = 449.58

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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.