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Finding the Fourth Proportional to 492.71, 738.42 and 199.87

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Solution

The fourth proportional to 492.71, 738.42 and 199.87 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.71 : 738.42 = 199.87 : x
  2. Step 2: Convert to fraction form
    492.71/738.42 = 199.87/x
  3. Step 3: Cross multiply
    492.71x = 738.42 × 199.87
  4. Step 4: Simplify right side
    492.71x = 147,586.82
  5. Step 5: Solve for x
    x = 147,586.82/492.71
  6. Step 6: Final answer
    x = 299.54

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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.