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Finding the Fourth Proportional to 462.56, 694 and 174.24

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Solution

The fourth proportional to 462.56, 694 and 174.24 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 694 = 174.24 : x
  2. Step 2: Convert to fraction form
    462.56/694 = 174.24/x
  3. Step 3: Cross multiply
    462.56x = 694 × 174.24
  4. Step 4: Simplify right side
    462.56x = 120,922.56
  5. Step 5: Solve for x
    x = 120,922.56/462.56
  6. Step 6: Final answer
    x = 261.42

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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.