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Finding the Fourth Proportional to 419.54, 629.60 and 203.26

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Solution

The fourth proportional to 419.54, 629.60 and 203.26 is: 305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 629.60 = 203.26 : x
  2. Step 2: Convert to fraction form
    419.54/629.60 = 203.26/x
  3. Step 3: Cross multiply
    419.54x = 629.60 × 203.26
  4. Step 4: Simplify right side
    419.54x = 127,972.50
  5. Step 5: Solve for x
    x = 127,972.50/419.54
  6. Step 6: Final answer
    x = 305.03

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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.