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Finding the Fourth Proportional to 617.96, 927.09 and 412.02

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Solution

The fourth proportional to 617.96, 927.09 and 412.02 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.96 : 927.09 = 412.02 : x
  2. Step 2: Convert to fraction form
    617.96/927.09 = 412.02/x
  3. Step 3: Cross multiply
    617.96x = 927.09 × 412.02
  4. Step 4: Simplify right side
    617.96x = 381,979.62
  5. Step 5: Solve for x
    x = 381,979.62/617.96
  6. Step 6: Final answer
    x = 618.14

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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.