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Finding the Fourth Proportional to 462.46, 693.68 and 115.78

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Solution

The fourth proportional to 462.46, 693.68 and 115.78 is: 173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 693.68 = 115.78 : x
  2. Step 2: Convert to fraction form
    462.46/693.68 = 115.78/x
  3. Step 3: Cross multiply
    462.46x = 693.68 × 115.78
  4. Step 4: Simplify right side
    462.46x = 80,314.27
  5. Step 5: Solve for x
    x = 80,314.27/462.46
  6. Step 6: Final answer
    x = 173.67

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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.