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Finding the Fourth Proportional to 617.69, 927.20 and 344.01

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Solution

The fourth proportional to 617.69, 927.20 and 344.01 is: 516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.69 : 927.20 = 344.01 : x
  2. Step 2: Convert to fraction form
    617.69/927.20 = 344.01/x
  3. Step 3: Cross multiply
    617.69x = 927.20 × 344.01
  4. Step 4: Simplify right side
    617.69x = 318,968.47
  5. Step 5: Solve for x
    x = 318,968.47/617.69
  6. Step 6: Final answer
    x = 516.39

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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.