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Finding the Fourth Proportional to 893.23, 1,339.83 and 276.91

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Solution

The fourth proportional to 893.23, 1,339.83 and 276.91 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.23 : 1,339.83 = 276.91 : x
  2. Step 2: Convert to fraction form
    893.23/1,339.83 = 276.91/x
  3. Step 3: Cross multiply
    893.23x = 1,339.83 × 276.91
  4. Step 4: Simplify right side
    893.23x = 371,008.98
  5. Step 5: Solve for x
    x = 371,008.98/893.23
  6. Step 6: Final answer
    x = 415.36

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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.