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Finding the Fourth Proportional to 419.05, 627.64 and 213.27

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Solution

The fourth proportional to 419.05, 627.64 and 213.27 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.05 : 627.64 = 213.27 : x
  2. Step 2: Convert to fraction form
    419.05/627.64 = 213.27/x
  3. Step 3: Cross multiply
    419.05x = 627.64 × 213.27
  4. Step 4: Simplify right side
    419.05x = 133,856.78
  5. Step 5: Solve for x
    x = 133,856.78/419.05
  6. Step 6: Final answer
    x = 319.43

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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.