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Finding the Fourth Proportional to 449.11, 672.44 and 286.30

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Solution

The fourth proportional to 449.11, 672.44 and 286.30 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.11 : 672.44 = 286.30 : x
  2. Step 2: Convert to fraction form
    449.11/672.44 = 286.30/x
  3. Step 3: Cross multiply
    449.11x = 672.44 × 286.30
  4. Step 4: Simplify right side
    449.11x = 192,516.21
  5. Step 5: Solve for x
    x = 192,516.21/449.11
  6. Step 6: Final answer
    x = 428.67

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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.