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Finding the Fourth Proportional to 286.09, 393.10 and 233.51

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Solution

The fourth proportional to 286.09, 393.10 and 233.51 is: 320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.09 : 393.10 = 233.51 : x
  2. Step 2: Convert to fraction form
    286.09/393.10 = 233.51/x
  3. Step 3: Cross multiply
    286.09x = 393.10 × 233.51
  4. Step 4: Simplify right side
    286.09x = 91,790.23
  5. Step 5: Solve for x
    x = 91,790.23/286.09
  6. Step 6: Final answer
    x = 320.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.