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Finding the Fourth Proportional to 674.23, 1,011.50 and 212.06

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Solution

The fourth proportional to 674.23, 1,011.50 and 212.06 is: 318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.23 : 1,011.50 = 212.06 : x
  2. Step 2: Convert to fraction form
    674.23/1,011.50 = 212.06/x
  3. Step 3: Cross multiply
    674.23x = 1,011.50 × 212.06
  4. Step 4: Simplify right side
    674.23x = 214,498.69
  5. Step 5: Solve for x
    x = 214,498.69/674.23
  6. Step 6: Final answer
    x = 318.14

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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.