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Finding the Fourth Proportional to 443.24, 665.01 and 212.30

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Solution

The fourth proportional to 443.24, 665.01 and 212.30 is: 318.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 665.01 = 212.30 : x
  2. Step 2: Convert to fraction form
    443.24/665.01 = 212.30/x
  3. Step 3: Cross multiply
    443.24x = 665.01 × 212.30
  4. Step 4: Simplify right side
    443.24x = 141,181.62
  5. Step 5: Solve for x
    x = 141,181.62/443.24
  6. Step 6: Final answer
    x = 318.52

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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.