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Finding the Fourth Proportional to 444.44, 665.80 and 213.01

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Solution

The fourth proportional to 444.44, 665.80 and 213.01 is: 319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.44 : 665.80 = 213.01 : x
  2. Step 2: Convert to fraction form
    444.44/665.80 = 213.01/x
  3. Step 3: Cross multiply
    444.44x = 665.80 × 213.01
  4. Step 4: Simplify right side
    444.44x = 141,819.86
  5. Step 5: Solve for x
    x = 141,819.86/444.44
  6. Step 6: Final answer
    x = 319.10

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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.