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Finding the Fourth Proportional to 344.63, 516.94 and 200.05

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Solution

The fourth proportional to 344.63, 516.94 and 200.05 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.63 : 516.94 = 200.05 : x
  2. Step 2: Convert to fraction form
    344.63/516.94 = 200.05/x
  3. Step 3: Cross multiply
    344.63x = 516.94 × 200.05
  4. Step 4: Simplify right side
    344.63x = 103,412.05
  5. Step 5: Solve for x
    x = 103,412.05/344.63
  6. Step 6: Final answer
    x = 300.06

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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.