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Finding the Fourth Proportional to 344.26, 516.52 and 207.40

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Solution

The fourth proportional to 344.26, 516.52 and 207.40 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.26 : 516.52 = 207.40 : x
  2. Step 2: Convert to fraction form
    344.26/516.52 = 207.40/x
  3. Step 3: Cross multiply
    344.26x = 516.52 × 207.40
  4. Step 4: Simplify right side
    344.26x = 107,122.63
  5. Step 5: Solve for x
    x = 107,122.63/344.26
  6. Step 6: Final answer
    x = 311.17

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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.