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Finding the Fourth Proportional to 489.65, 734.49 and 201.11

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Solution

The fourth proportional to 489.65, 734.49 and 201.11 is: 301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.65 : 734.49 = 201.11 : x
  2. Step 2: Convert to fraction form
    489.65/734.49 = 201.11/x
  3. Step 3: Cross multiply
    489.65x = 734.49 × 201.11
  4. Step 4: Simplify right side
    489.65x = 147,709.61
  5. Step 5: Solve for x
    x = 147,709.61/489.65
  6. Step 6: Final answer
    x = 301.67

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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.