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Finding the Fourth Proportional to 419.73, 629.10 and 246.48

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Solution

The fourth proportional to 419.73, 629.10 and 246.48 is: 369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.73 : 629.10 = 246.48 : x
  2. Step 2: Convert to fraction form
    419.73/629.10 = 246.48/x
  3. Step 3: Cross multiply
    419.73x = 629.10 × 246.48
  4. Step 4: Simplify right side
    419.73x = 155,060.57
  5. Step 5: Solve for x
    x = 155,060.57/419.73
  6. Step 6: Final answer
    x = 369.43

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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.