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Finding the Fourth Proportional to 344.57, 516.12 and 214.61

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Solution

The fourth proportional to 344.57, 516.12 and 214.61 is: 321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.57 : 516.12 = 214.61 : x
  2. Step 2: Convert to fraction form
    344.57/516.12 = 214.61/x
  3. Step 3: Cross multiply
    344.57x = 516.12 × 214.61
  4. Step 4: Simplify right side
    344.57x = 110,764.51
  5. Step 5: Solve for x
    x = 110,764.51/344.57
  6. Step 6: Final answer
    x = 321.46

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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.