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Finding the Fourth Proportional to 739.38, 1,108.72 and 277

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Solution

The fourth proportional to 739.38, 1,108.72 and 277 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.38 : 1,108.72 = 277 : x
  2. Step 2: Convert to fraction form
    739.38/1,108.72 = 277/x
  3. Step 3: Cross multiply
    739.38x = 1,108.72 × 277
  4. Step 4: Simplify right side
    739.38x = 307,115.44
  5. Step 5: Solve for x
    x = 307,115.44/739.38
  6. Step 6: Final answer
    x = 415.37

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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.