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Finding the Fourth Proportional to 419.68, 629.07 and 202.96

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Solution

The fourth proportional to 419.68, 629.07 and 202.96 is: 304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 629.07 = 202.96 : x
  2. Step 2: Convert to fraction form
    419.68/629.07 = 202.96/x
  3. Step 3: Cross multiply
    419.68x = 629.07 × 202.96
  4. Step 4: Simplify right side
    419.68x = 127,676.05
  5. Step 5: Solve for x
    x = 127,676.05/419.68
  6. Step 6: Final answer
    x = 304.22

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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.