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Finding the Fourth Proportional to 418.59, 627.84 and 110.43

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Solution

The fourth proportional to 418.59, 627.84 and 110.43 is: 165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.59 : 627.84 = 110.43 : x
  2. Step 2: Convert to fraction form
    418.59/627.84 = 110.43/x
  3. Step 3: Cross multiply
    418.59x = 627.84 × 110.43
  4. Step 4: Simplify right side
    418.59x = 69,332.37
  5. Step 5: Solve for x
    x = 69,332.37/418.59
  6. Step 6: Final answer
    x = 165.63

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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.