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Finding the Fourth Proportional to 391.24, 587.12 and 174.88

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Solution

The fourth proportional to 391.24, 587.12 and 174.88 is: 262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.24 : 587.12 = 174.88 : x
  2. Step 2: Convert to fraction form
    391.24/587.12 = 174.88/x
  3. Step 3: Cross multiply
    391.24x = 587.12 × 174.88
  4. Step 4: Simplify right side
    391.24x = 102,675.55
  5. Step 5: Solve for x
    x = 102,675.55/391.24
  6. Step 6: Final answer
    x = 262.44

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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.