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Finding the Fourth Proportional to 419.14, 627.90 and 213.46

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Solution

The fourth proportional to 419.14, 627.90 and 213.46 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.14 : 627.90 = 213.46 : x
  2. Step 2: Convert to fraction form
    419.14/627.90 = 213.46/x
  3. Step 3: Cross multiply
    419.14x = 627.90 × 213.46
  4. Step 4: Simplify right side
    419.14x = 134,031.53
  5. Step 5: Solve for x
    x = 134,031.53/419.14
  6. Step 6: Final answer
    x = 319.78

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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.