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Finding the Fourth Proportional to 344.84, 516.91 and 190.61

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Solution

The fourth proportional to 344.84, 516.91 and 190.61 is: 285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.84 : 516.91 = 190.61 : x
  2. Step 2: Convert to fraction form
    344.84/516.91 = 190.61/x
  3. Step 3: Cross multiply
    344.84x = 516.91 × 190.61
  4. Step 4: Simplify right side
    344.84x = 98,528.22
  5. Step 5: Solve for x
    x = 98,528.22/344.84
  6. Step 6: Final answer
    x = 285.72

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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.