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Finding the Fourth Proportional to 419.93, 628.54 and 224.44

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Solution

The fourth proportional to 419.93, 628.54 and 224.44 is: 335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.93 : 628.54 = 224.44 : x
  2. Step 2: Convert to fraction form
    419.93/628.54 = 224.44/x
  3. Step 3: Cross multiply
    419.93x = 628.54 × 224.44
  4. Step 4: Simplify right side
    419.93x = 141,067.39
  5. Step 5: Solve for x
    x = 141,067.39/419.93
  6. Step 6: Final answer
    x = 335.93

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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.