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Finding the Fourth Proportional to 300.51, 449.96 and 282.29

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Solution

The fourth proportional to 300.51, 449.96 and 282.29 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.51 : 449.96 = 282.29 : x
  2. Step 2: Convert to fraction form
    300.51/449.96 = 282.29/x
  3. Step 3: Cross multiply
    300.51x = 449.96 × 282.29
  4. Step 4: Simplify right side
    300.51x = 127,015.55
  5. Step 5: Solve for x
    x = 127,015.55/300.51
  6. Step 6: Final answer
    x = 422.67

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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.