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Finding the Fourth Proportional to 419.25, 628.05 and 213.21

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Solution

The fourth proportional to 419.25, 628.05 and 213.21 is: 319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.25 : 628.05 = 213.21 : x
  2. Step 2: Convert to fraction form
    419.25/628.05 = 213.21/x
  3. Step 3: Cross multiply
    419.25x = 628.05 × 213.21
  4. Step 4: Simplify right side
    419.25x = 133,906.54
  5. Step 5: Solve for x
    x = 133,906.54/419.25
  6. Step 6: Final answer
    x = 319.40

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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.