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Finding the Fourth Proportional to 344.45, 516.22 and 252.72

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Solution

The fourth proportional to 344.45, 516.22 and 252.72 is: 378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.45 : 516.22 = 252.72 : x
  2. Step 2: Convert to fraction form
    344.45/516.22 = 252.72/x
  3. Step 3: Cross multiply
    344.45x = 516.22 × 252.72
  4. Step 4: Simplify right side
    344.45x = 130,459.91
  5. Step 5: Solve for x
    x = 130,459.91/344.45
  6. Step 6: Final answer
    x = 378.75

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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.