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Finding the Fourth Proportional to 419.64, 628.09 and 224.36

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Solution

The fourth proportional to 419.64, 628.09 and 224.36 is: 335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 628.09 = 224.36 : x
  2. Step 2: Convert to fraction form
    419.64/628.09 = 224.36/x
  3. Step 3: Cross multiply
    419.64x = 628.09 × 224.36
  4. Step 4: Simplify right side
    419.64x = 140,918.27
  5. Step 5: Solve for x
    x = 140,918.27/419.64
  6. Step 6: Final answer
    x = 335.81

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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.