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Finding the Fourth Proportional to 674.38, 1,011.60 and 212.20

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Solution

The fourth proportional to 674.38, 1,011.60 and 212.20 is: 318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.38 : 1,011.60 = 212.20 : x
  2. Step 2: Convert to fraction form
    674.38/1,011.60 = 212.20/x
  3. Step 3: Cross multiply
    674.38x = 1,011.60 × 212.20
  4. Step 4: Simplify right side
    674.38x = 214,661.52
  5. Step 5: Solve for x
    x = 214,661.52/674.38
  6. Step 6: Final answer
    x = 318.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.