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Finding the Fourth Proportional to 418.74, 628.10 and 110.61

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Solution

The fourth proportional to 418.74, 628.10 and 110.61 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.74 : 628.10 = 110.61 : x
  2. Step 2: Convert to fraction form
    418.74/628.10 = 110.61/x
  3. Step 3: Cross multiply
    418.74x = 628.10 × 110.61
  4. Step 4: Simplify right side
    418.74x = 69,474.00
  5. Step 5: Solve for x
    x = 69,474.00/418.74
  6. Step 6: Final answer
    x = 165.91

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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.