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Finding the Fourth Proportional to 419.05, 628.50 and 110.91

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Solution

The fourth proportional to 419.05, 628.50 and 110.91 is: 166.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.05 : 628.50 = 110.91 : x
  2. Step 2: Convert to fraction form
    419.05/628.50 = 110.91/x
  3. Step 3: Cross multiply
    419.05x = 628.50 × 110.91
  4. Step 4: Simplify right side
    419.05x = 69,704.58
  5. Step 5: Solve for x
    x = 69,704.58/419.05
  6. Step 6: Final answer
    x = 166.34

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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.