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Finding the Fourth Proportional to 419.48, 629.24 and 130.96

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Solution

The fourth proportional to 419.48, 629.24 and 130.96 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 629.24 = 130.96 : x
  2. Step 2: Convert to fraction form
    419.48/629.24 = 130.96/x
  3. Step 3: Cross multiply
    419.48x = 629.24 × 130.96
  4. Step 4: Simplify right side
    419.48x = 82,405.27
  5. Step 5: Solve for x
    x = 82,405.27/419.48
  6. Step 6: Final answer
    x = 196.45

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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.