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Finding the Fourth Proportional to 419.00, 628.31 and 202.43

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Solution

The fourth proportional to 419.00, 628.31 and 202.43 is: 303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.00 : 628.31 = 202.43 : x
  2. Step 2: Convert to fraction form
    419.00/628.31 = 202.43/x
  3. Step 3: Cross multiply
    419.00x = 628.31 × 202.43
  4. Step 4: Simplify right side
    419.00x = 127,190.87
  5. Step 5: Solve for x
    x = 127,190.87/419.00
  6. Step 6: Final answer
    x = 303.56

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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.