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Finding the Fourth Proportional to 757.33, 1,135.42 and 295.44

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Solution

The fourth proportional to 757.33, 1,135.42 and 295.44 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.33 : 1,135.42 = 295.44 : x
  2. Step 2: Convert to fraction form
    757.33/1,135.42 = 295.44/x
  3. Step 3: Cross multiply
    757.33x = 1,135.42 × 295.44
  4. Step 4: Simplify right side
    757.33x = 335,446.69
  5. Step 5: Solve for x
    x = 335,446.69/757.33
  6. Step 6: Final answer
    x = 442.93

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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.