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Finding the Fourth Proportional to 419.10, 628.37 and 213.27

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Solution

The fourth proportional to 419.10, 628.37 and 213.27 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 628.37 = 213.27 : x
  2. Step 2: Convert to fraction form
    419.10/628.37 = 213.27/x
  3. Step 3: Cross multiply
    419.10x = 628.37 × 213.27
  4. Step 4: Simplify right side
    419.10x = 134,012.78
  5. Step 5: Solve for x
    x = 134,012.78/419.10
  6. Step 6: Final answer
    x = 319.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.