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Finding the Fourth Proportional to 462.96, 694.74 and 174.36

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Solution

The fourth proportional to 462.96, 694.74 and 174.36 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.96 : 694.74 = 174.36 : x
  2. Step 2: Convert to fraction form
    462.96/694.74 = 174.36/x
  3. Step 3: Cross multiply
    462.96x = 694.74 × 174.36
  4. Step 4: Simplify right side
    462.96x = 121,134.87
  5. Step 5: Solve for x
    x = 121,134.87/462.96
  6. Step 6: Final answer
    x = 261.65

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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.