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Finding the Fourth Proportional to 467.20, 701.15 and 174.97

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Solution

The fourth proportional to 467.20, 701.15 and 174.97 is: 262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.20 : 701.15 = 174.97 : x
  2. Step 2: Convert to fraction form
    467.20/701.15 = 174.97/x
  3. Step 3: Cross multiply
    467.20x = 701.15 × 174.97
  4. Step 4: Simplify right side
    467.20x = 122,680.22
  5. Step 5: Solve for x
    x = 122,680.22/467.20
  6. Step 6: Final answer
    x = 262.59

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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.