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Finding the Fourth Proportional to 613.05, 919.17 and 287.97

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Solution

The fourth proportional to 613.05, 919.17 and 287.97 is: 431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.05 : 919.17 = 287.97 : x
  2. Step 2: Convert to fraction form
    613.05/919.17 = 287.97/x
  3. Step 3: Cross multiply
    613.05x = 919.17 × 287.97
  4. Step 4: Simplify right side
    613.05x = 264,693.38
  5. Step 5: Solve for x
    x = 264,693.38/613.05
  6. Step 6: Final answer
    x = 431.76

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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.