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Finding the Fourth Proportional to 445.15, 667.29 and 213.91

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Solution

The fourth proportional to 445.15, 667.29 and 213.91 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.15 : 667.29 = 213.91 : x
  2. Step 2: Convert to fraction form
    445.15/667.29 = 213.91/x
  3. Step 3: Cross multiply
    445.15x = 667.29 × 213.91
  4. Step 4: Simplify right side
    445.15x = 142,742.89
  5. Step 5: Solve for x
    x = 142,742.89/445.15
  6. Step 6: Final answer
    x = 320.67

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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.