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Finding the Fourth Proportional to 299.70, 448.20 and 285.12

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Solution

The fourth proportional to 299.70, 448.20 and 285.12 is: 426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.70 : 448.20 = 285.12 : x
  2. Step 2: Convert to fraction form
    299.70/448.20 = 285.12/x
  3. Step 3: Cross multiply
    299.70x = 448.20 × 285.12
  4. Step 4: Simplify right side
    299.70x = 127,790.78
  5. Step 5: Solve for x
    x = 127,790.78/299.70
  6. Step 6: Final answer
    x = 426.40

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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.