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Finding the Fourth Proportional to 344.43, 516.78 and 214.63

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Solution

The fourth proportional to 344.43, 516.78 and 214.63 is: 322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.43 : 516.78 = 214.63 : x
  2. Step 2: Convert to fraction form
    344.43/516.78 = 214.63/x
  3. Step 3: Cross multiply
    344.43x = 516.78 × 214.63
  4. Step 4: Simplify right side
    344.43x = 110,915.20
  5. Step 5: Solve for x
    x = 110,915.20/344.43
  6. Step 6: Final answer
    x = 322.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.