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Finding the Fourth Proportional to 343.89, 516.38 and 214.11

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Solution

The fourth proportional to 343.89, 516.38 and 214.11 is: 321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.89 : 516.38 = 214.11 : x
  2. Step 2: Convert to fraction form
    343.89/516.38 = 214.11/x
  3. Step 3: Cross multiply
    343.89x = 516.38 × 214.11
  4. Step 4: Simplify right side
    343.89x = 110,561.05
  5. Step 5: Solve for x
    x = 110,561.05/343.89
  6. Step 6: Final answer
    x = 321.50

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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.