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Finding the Fourth Proportional to 850.10, 1,274.79 and 272.84

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Solution

The fourth proportional to 850.10, 1,274.79 and 272.84 is: 409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.10 : 1,274.79 = 272.84 : x
  2. Step 2: Convert to fraction form
    850.10/1,274.79 = 272.84/x
  3. Step 3: Cross multiply
    850.10x = 1,274.79 × 272.84
  4. Step 4: Simplify right side
    850.10x = 347,813.70
  5. Step 5: Solve for x
    x = 347,813.70/850.10
  6. Step 6: Final answer
    x = 409.14

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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.