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Finding the Fourth Proportional to 850.01, 1,274.27 and 362.97

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Solution

The fourth proportional to 850.01, 1,274.27 and 362.97 is: 544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.01 : 1,274.27 = 362.97 : x
  2. Step 2: Convert to fraction form
    850.01/1,274.27 = 362.97/x
  3. Step 3: Cross multiply
    850.01x = 1,274.27 × 362.97
  4. Step 4: Simplify right side
    850.01x = 462,519.97
  5. Step 5: Solve for x
    x = 462,519.97/850.01
  6. Step 6: Final answer
    x = 544.14

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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.