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Finding the Fourth Proportional to 674.65, 1,012.01 and 212.44

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Solution

The fourth proportional to 674.65, 1,012.01 and 212.44 is: 318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.65 : 1,012.01 = 212.44 : x
  2. Step 2: Convert to fraction form
    674.65/1,012.01 = 212.44/x
  3. Step 3: Cross multiply
    674.65x = 1,012.01 × 212.44
  4. Step 4: Simplify right side
    674.65x = 214,991.40
  5. Step 5: Solve for x
    x = 214,991.40/674.65
  6. Step 6: Final answer
    x = 318.67

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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.