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Finding the Fourth Proportional to 344.76, 516.30 and 214.44

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Solution

The fourth proportional to 344.76, 516.30 and 214.44 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.76 : 516.30 = 214.44 : x
  2. Step 2: Convert to fraction form
    344.76/516.30 = 214.44/x
  3. Step 3: Cross multiply
    344.76x = 516.30 × 214.44
  4. Step 4: Simplify right side
    344.76x = 110,715.37
  5. Step 5: Solve for x
    x = 110,715.37/344.76
  6. Step 6: Final answer
    x = 321.14

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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.