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Finding the Fourth Proportional to 893.43, 1,340.17 and 277.16

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Solution

The fourth proportional to 893.43, 1,340.17 and 277.16 is: 415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.43 : 1,340.17 = 277.16 : x
  2. Step 2: Convert to fraction form
    893.43/1,340.17 = 277.16/x
  3. Step 3: Cross multiply
    893.43x = 1,340.17 × 277.16
  4. Step 4: Simplify right side
    893.43x = 371,439.15
  5. Step 5: Solve for x
    x = 371,439.15/893.43
  6. Step 6: Final answer
    x = 415.74

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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.