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Finding the Fourth Proportional to 852.83, 1,279.23 and 236.53

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Solution

The fourth proportional to 852.83, 1,279.23 and 236.53 is: 354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.83 : 1,279.23 = 236.53 : x
  2. Step 2: Convert to fraction form
    852.83/1,279.23 = 236.53/x
  3. Step 3: Cross multiply
    852.83x = 1,279.23 × 236.53
  4. Step 4: Simplify right side
    852.83x = 302,573.07
  5. Step 5: Solve for x
    x = 302,573.07/852.83
  6. Step 6: Final answer
    x = 354.79

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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.