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Finding the Fourth Proportional to 419.48, 629.12 and 159.42

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Solution

The fourth proportional to 419.48, 629.12 and 159.42 is: 239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 629.12 = 159.42 : x
  2. Step 2: Convert to fraction form
    419.48/629.12 = 159.42/x
  3. Step 3: Cross multiply
    419.48x = 629.12 × 159.42
  4. Step 4: Simplify right side
    419.48x = 100,294.31
  5. Step 5: Solve for x
    x = 100,294.31/419.48
  6. Step 6: Final answer
    x = 239.09

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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.