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Finding the Fourth Proportional to 418.19, 627.29 and 198.84

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Solution

The fourth proportional to 418.19, 627.29 and 198.84 is: 298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.19 : 627.29 = 198.84 : x
  2. Step 2: Convert to fraction form
    418.19/627.29 = 198.84/x
  3. Step 3: Cross multiply
    418.19x = 627.29 × 198.84
  4. Step 4: Simplify right side
    418.19x = 124,731.87
  5. Step 5: Solve for x
    x = 124,731.87/418.19
  6. Step 6: Final answer
    x = 298.26

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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.