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Finding the Fourth Proportional to 344.22, 516.32 and 229.40

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Solution

The fourth proportional to 344.22, 516.32 and 229.40 is: 344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.22 : 516.32 = 229.40 : x
  2. Step 2: Convert to fraction form
    344.22/516.32 = 229.40/x
  3. Step 3: Cross multiply
    344.22x = 516.32 × 229.40
  4. Step 4: Simplify right side
    344.22x = 118,443.81
  5. Step 5: Solve for x
    x = 118,443.81/344.22
  6. Step 6: Final answer
    x = 344.09

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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.