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Finding the Fourth Proportional to 418.24, 627.31 and 174.88

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Solution

The fourth proportional to 418.24, 627.31 and 174.88 is: 262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.24 : 627.31 = 174.88 : x
  2. Step 2: Convert to fraction form
    418.24/627.31 = 174.88/x
  3. Step 3: Cross multiply
    418.24x = 627.31 × 174.88
  4. Step 4: Simplify right side
    418.24x = 109,703.97
  5. Step 5: Solve for x
    x = 109,703.97/418.24
  6. Step 6: Final answer
    x = 262.30

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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.