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Finding the Fourth Proportional to 728.30, 1,093.26 and 295.76

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Solution

The fourth proportional to 728.30, 1,093.26 and 295.76 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.30 : 1,093.26 = 295.76 : x
  2. Step 2: Convert to fraction form
    728.30/1,093.26 = 295.76/x
  3. Step 3: Cross multiply
    728.30x = 1,093.26 × 295.76
  4. Step 4: Simplify right side
    728.30x = 323,342.58
  5. Step 5: Solve for x
    x = 323,342.58/728.30
  6. Step 6: Final answer
    x = 443.97

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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.