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Finding the Fourth Proportional to 344.34, 516.76 and 214.53

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Solution

The fourth proportional to 344.34, 516.76 and 214.53 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.34 : 516.76 = 214.53 : x
  2. Step 2: Convert to fraction form
    344.34/516.76 = 214.53/x
  3. Step 3: Cross multiply
    344.34x = 516.76 × 214.53
  4. Step 4: Simplify right side
    344.34x = 110,857.94
  5. Step 5: Solve for x
    x = 110,857.94/344.34
  6. Step 6: Final answer
    x = 321.95

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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.