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Finding the Fourth Proportional to 309.44, 462.22 and 232.00

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Solution

The fourth proportional to 309.44, 462.22 and 232.00 is: 346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 462.22 = 232.00 : x
  2. Step 2: Convert to fraction form
    309.44/462.22 = 232.00/x
  3. Step 3: Cross multiply
    309.44x = 462.22 × 232.00
  4. Step 4: Simplify right side
    309.44x = 107,233.30
  5. Step 5: Solve for x
    x = 107,233.30/309.44
  6. Step 6: Final answer
    x = 346.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.