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Finding the Fourth Proportional to 949.30, 1,424.02 and 299.94

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Solution

The fourth proportional to 949.30, 1,424.02 and 299.94 is: 449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.30 : 1,424.02 = 299.94 : x
  2. Step 2: Convert to fraction form
    949.30/1,424.02 = 299.94/x
  3. Step 3: Cross multiply
    949.30x = 1,424.02 × 299.94
  4. Step 4: Simplify right side
    949.30x = 427,120.56
  5. Step 5: Solve for x
    x = 427,120.56/949.30
  6. Step 6: Final answer
    x = 449.93

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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.