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Finding the Fourth Proportional to 853.40, 1,279.86 and 236.96

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Solution

The fourth proportional to 853.40, 1,279.86 and 236.96 is: 355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.40 : 1,279.86 = 236.96 : x
  2. Step 2: Convert to fraction form
    853.40/1,279.86 = 236.96/x
  3. Step 3: Cross multiply
    853.40x = 1,279.86 × 236.96
  4. Step 4: Simplify right side
    853.40x = 303,275.63
  5. Step 5: Solve for x
    x = 303,275.63/853.40
  6. Step 6: Final answer
    x = 355.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.