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Finding the Fourth Proportional to 462.69, 694.13 and 174.13

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Solution

The fourth proportional to 462.69, 694.13 and 174.13 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.69 : 694.13 = 174.13 : x
  2. Step 2: Convert to fraction form
    462.69/694.13 = 174.13/x
  3. Step 3: Cross multiply
    462.69x = 694.13 × 174.13
  4. Step 4: Simplify right side
    462.69x = 120,868.86
  5. Step 5: Solve for x
    x = 120,868.86/462.69
  6. Step 6: Final answer
    x = 261.23

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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.