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Finding the Fourth Proportional to 854.11, 1,280.26 and 367.20

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Solution

The fourth proportional to 854.11, 1,280.26 and 367.20 is: 550.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.11 : 1,280.26 = 367.20 : x
  2. Step 2: Convert to fraction form
    854.11/1,280.26 = 367.20/x
  3. Step 3: Cross multiply
    854.11x = 1,280.26 × 367.20
  4. Step 4: Simplify right side
    854.11x = 470,109.87
  5. Step 5: Solve for x
    x = 470,109.87/854.11
  6. Step 6: Final answer
    x = 550.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.