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Finding the Fourth Proportional to 419.57, 629.35 and 111.44

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Solution

The fourth proportional to 419.57, 629.35 and 111.44 is: 167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.57 : 629.35 = 111.44 : x
  2. Step 2: Convert to fraction form
    419.57/629.35 = 111.44/x
  3. Step 3: Cross multiply
    419.57x = 629.35 × 111.44
  4. Step 4: Simplify right side
    419.57x = 70,136.06
  5. Step 5: Solve for x
    x = 70,136.06/419.57
  6. Step 6: Final answer
    x = 167.16

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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.