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Finding the Fourth Proportional to 344.60, 516.95 and 214.49

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Solution

The fourth proportional to 344.60, 516.95 and 214.49 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.60 : 516.95 = 214.49 : x
  2. Step 2: Convert to fraction form
    344.60/516.95 = 214.49/x
  3. Step 3: Cross multiply
    344.60x = 516.95 × 214.49
  4. Step 4: Simplify right side
    344.60x = 110,881.63
  5. Step 5: Solve for x
    x = 110,881.63/344.60
  6. Step 6: Final answer
    x = 321.77

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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.