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Finding the Fourth Proportional to 418.72, 628.24 and 175.44

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Solution

The fourth proportional to 418.72, 628.24 and 175.44 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.72 : 628.24 = 175.44 : x
  2. Step 2: Convert to fraction form
    418.72/628.24 = 175.44/x
  3. Step 3: Cross multiply
    418.72x = 628.24 × 175.44
  4. Step 4: Simplify right side
    418.72x = 110,218.43
  5. Step 5: Solve for x
    x = 110,218.43/418.72
  6. Step 6: Final answer
    x = 263.23

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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.