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Finding the Fourth Proportional to 444.90, 667.35 and 213.74

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Solution

The fourth proportional to 444.90, 667.35 and 213.74 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.90 : 667.35 = 213.74 : x
  2. Step 2: Convert to fraction form
    444.90/667.35 = 213.74/x
  3. Step 3: Cross multiply
    444.90x = 667.35 × 213.74
  4. Step 4: Simplify right side
    444.90x = 142,636.05
  5. Step 5: Solve for x
    x = 142,636.05/444.90
  6. Step 6: Final answer
    x = 320.60

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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.