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Finding the Fourth Proportional to 993.14, 1,489.90 and 299.84

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Solution

The fourth proportional to 993.14, 1,489.90 and 299.84 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.14 : 1,489.90 = 299.84 : x
  2. Step 2: Convert to fraction form
    993.14/1,489.90 = 299.84/x
  3. Step 3: Cross multiply
    993.14x = 1,489.90 × 299.84
  4. Step 4: Simplify right side
    993.14x = 446,731.62
  5. Step 5: Solve for x
    x = 446,731.62/993.14
  6. Step 6: Final answer
    x = 449.82

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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.