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Finding the Fourth Proportional to 379.67, 568.80 and 338.67

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Solution

The fourth proportional to 379.67, 568.80 and 338.67 is: 507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.67 : 568.80 = 338.67 : x
  2. Step 2: Convert to fraction form
    379.67/568.80 = 338.67/x
  3. Step 3: Cross multiply
    379.67x = 568.80 × 338.67
  4. Step 4: Simplify right side
    379.67x = 192,635.50
  5. Step 5: Solve for x
    x = 192,635.50/379.67
  6. Step 6: Final answer
    x = 507.38

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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.