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Finding the Fourth Proportional to 419.33, 629.00 and 202.25

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Solution

The fourth proportional to 419.33, 629.00 and 202.25 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.33 : 629.00 = 202.25 : x
  2. Step 2: Convert to fraction form
    419.33/629.00 = 202.25/x
  3. Step 3: Cross multiply
    419.33x = 629.00 × 202.25
  4. Step 4: Simplify right side
    419.33x = 127,211.09
  5. Step 5: Solve for x
    x = 127,211.09/419.33
  6. Step 6: Final answer
    x = 303.37

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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.