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Finding the Fourth Proportional to 462.36, 693.64 and 173.80

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Solution

The fourth proportional to 462.36, 693.64 and 173.80 is: 260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.36 : 693.64 = 173.80 : x
  2. Step 2: Convert to fraction form
    462.36/693.64 = 173.80/x
  3. Step 3: Cross multiply
    462.36x = 693.64 × 173.80
  4. Step 4: Simplify right side
    462.36x = 120,552.90
  5. Step 5: Solve for x
    x = 120,552.90/462.36
  6. Step 6: Final answer
    x = 260.73

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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.