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Finding the Fourth Proportional to 309.06, 426.31 and 235.22

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Solution

The fourth proportional to 309.06, 426.31 and 235.22 is: 324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 426.31 = 235.22 : x
  2. Step 2: Convert to fraction form
    309.06/426.31 = 235.22/x
  3. Step 3: Cross multiply
    309.06x = 426.31 × 235.22
  4. Step 4: Simplify right side
    309.06x = 100,276.64
  5. Step 5: Solve for x
    x = 100,276.64/309.06
  6. Step 6: Final answer
    x = 324.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.