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Finding the Fourth Proportional to 463.20, 693.90 and 308.67

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Solution

The fourth proportional to 463.20, 693.90 and 308.67 is: 462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.20 : 693.90 = 308.67 : x
  2. Step 2: Convert to fraction form
    463.20/693.90 = 308.67/x
  3. Step 3: Cross multiply
    463.20x = 693.90 × 308.67
  4. Step 4: Simplify right side
    463.20x = 214,186.11
  5. Step 5: Solve for x
    x = 214,186.11/463.20
  6. Step 6: Final answer
    x = 462.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.