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Finding the Fourth Proportional to 309.39, 462.92 and 232.10

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Solution

The fourth proportional to 309.39, 462.92 and 232.10 is: 347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.39 : 462.92 = 232.10 : x
  2. Step 2: Convert to fraction form
    309.39/462.92 = 232.10/x
  3. Step 3: Cross multiply
    309.39x = 462.92 × 232.10
  4. Step 4: Simplify right side
    309.39x = 107,441.99
  5. Step 5: Solve for x
    x = 107,441.99/309.39
  6. Step 6: Final answer
    x = 347.27

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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.