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Finding the Fourth Proportional to 264.26, 397.97 and 230.43

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Solution

The fourth proportional to 264.26, 397.97 and 230.43 is: 347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 397.97 = 230.43 : x
  2. Step 2: Convert to fraction form
    264.26/397.97 = 230.43/x
  3. Step 3: Cross multiply
    264.26x = 397.97 × 230.43
  4. Step 4: Simplify right side
    264.26x = 91,704.23
  5. Step 5: Solve for x
    x = 91,704.23/264.26
  6. Step 6: Final answer
    x = 347.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.