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Finding the Fourth Proportional to 462.45, 693.26 and 173.69

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Solution

The fourth proportional to 462.45, 693.26 and 173.69 is: 260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 693.26 = 173.69 : x
  2. Step 2: Convert to fraction form
    462.45/693.26 = 173.69/x
  3. Step 3: Cross multiply
    462.45x = 693.26 × 173.69
  4. Step 4: Simplify right side
    462.45x = 120,412.33
  5. Step 5: Solve for x
    x = 120,412.33/462.45
  6. Step 6: Final answer
    x = 260.38

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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.