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Finding the Fourth Proportional to 309.25, 427.04 and 232.03

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Solution

The fourth proportional to 309.25, 427.04 and 232.03 is: 320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.25 : 427.04 = 232.03 : x
  2. Step 2: Convert to fraction form
    309.25/427.04 = 232.03/x
  3. Step 3: Cross multiply
    309.25x = 427.04 × 232.03
  4. Step 4: Simplify right side
    309.25x = 99,086.09
  5. Step 5: Solve for x
    x = 99,086.09/309.25
  6. Step 6: Final answer
    x = 320.41

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