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Finding the Fourth Proportional to 419.64, 629.52 and 111.48

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Solution

The fourth proportional to 419.64, 629.52 and 111.48 is: 167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 629.52 = 111.48 : x
  2. Step 2: Convert to fraction form
    419.64/629.52 = 111.48/x
  3. Step 3: Cross multiply
    419.64x = 629.52 × 111.48
  4. Step 4: Simplify right side
    419.64x = 70,178.89
  5. Step 5: Solve for x
    x = 70,178.89/419.64
  6. Step 6: Final answer
    x = 167.24

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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.