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Finding the Fourth Proportional to 853.99, 1,281 and 367.05

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Solution

The fourth proportional to 853.99, 1,281 and 367.05 is: 550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.99 : 1,281 = 367.05 : x
  2. Step 2: Convert to fraction form
    853.99/1,281 = 367.05/x
  3. Step 3: Cross multiply
    853.99x = 1,281 × 367.05
  4. Step 4: Simplify right side
    853.99x = 470,191.05
  5. Step 5: Solve for x
    x = 470,191.05/853.99
  6. Step 6: Final answer
    x = 550.58

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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.