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Finding the Fourth Proportional to 685.21, 1,028.35 and 274.39

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Solution

The fourth proportional to 685.21, 1,028.35 and 274.39 is: 411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.21 : 1,028.35 = 274.39 : x
  2. Step 2: Convert to fraction form
    685.21/1,028.35 = 274.39/x
  3. Step 3: Cross multiply
    685.21x = 1,028.35 × 274.39
  4. Step 4: Simplify right side
    685.21x = 282,168.96
  5. Step 5: Solve for x
    x = 282,168.96/685.21
  6. Step 6: Final answer
    x = 411.80

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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.