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Finding the Fourth Proportional to 449.46, 673.37 and 286.80

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Solution

The fourth proportional to 449.46, 673.37 and 286.80 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 673.37 = 286.80 : x
  2. Step 2: Convert to fraction form
    449.46/673.37 = 286.80/x
  3. Step 3: Cross multiply
    449.46x = 673.37 × 286.80
  4. Step 4: Simplify right side
    449.46x = 193,121.08
  5. Step 5: Solve for x
    x = 193,121.08/449.46
  6. Step 6: Final answer
    x = 429.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.