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Finding the Fourth Proportional to 850.16, 1,274.82 and 272.84

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Solution

The fourth proportional to 850.16, 1,274.82 and 272.84 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.16 : 1,274.82 = 272.84 : x
  2. Step 2: Convert to fraction form
    850.16/1,274.82 = 272.84/x
  3. Step 3: Cross multiply
    850.16x = 1,274.82 × 272.84
  4. Step 4: Simplify right side
    850.16x = 347,821.89
  5. Step 5: Solve for x
    x = 347,821.89/850.16
  6. Step 6: Final answer
    x = 409.13

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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.