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Finding the Fourth Proportional to 444.14, 665.90 and 213.08

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Solution

The fourth proportional to 444.14, 665.90 and 213.08 is: 319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.14 : 665.90 = 213.08 : x
  2. Step 2: Convert to fraction form
    444.14/665.90 = 213.08/x
  3. Step 3: Cross multiply
    444.14x = 665.90 × 213.08
  4. Step 4: Simplify right side
    444.14x = 141,889.97
  5. Step 5: Solve for x
    x = 141,889.97/444.14
  6. Step 6: Final answer
    x = 319.47

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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.