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Finding the Fourth Proportional to 309.72, 428.06 and 236.04

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Solution

The fourth proportional to 309.72, 428.06 and 236.04 is: 326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 428.06 = 236.04 : x
  2. Step 2: Convert to fraction form
    309.72/428.06 = 236.04/x
  3. Step 3: Cross multiply
    309.72x = 428.06 × 236.04
  4. Step 4: Simplify right side
    309.72x = 101,039.28
  5. Step 5: Solve for x
    x = 101,039.28/309.72
  6. Step 6: Final answer
    x = 326.23

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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.