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Finding the Fourth Proportional to 397.26, 594.81 and 259.97

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Solution

The fourth proportional to 397.26, 594.81 and 259.97 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.26 : 594.81 = 259.97 : x
  2. Step 2: Convert to fraction form
    397.26/594.81 = 259.97/x
  3. Step 3: Cross multiply
    397.26x = 594.81 × 259.97
  4. Step 4: Simplify right side
    397.26x = 154,629.78
  5. Step 5: Solve for x
    x = 154,629.78/397.26
  6. Step 6: Final answer
    x = 389.24

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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.