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Finding the Fourth Proportional to 492.41, 738.43 and 199.91

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Solution

The fourth proportional to 492.41, 738.43 and 199.91 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.41 : 738.43 = 199.91 : x
  2. Step 2: Convert to fraction form
    492.41/738.43 = 199.91/x
  3. Step 3: Cross multiply
    492.41x = 738.43 × 199.91
  4. Step 4: Simplify right side
    492.41x = 147,618.54
  5. Step 5: Solve for x
    x = 147,618.54/492.41
  6. Step 6: Final answer
    x = 299.79

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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.