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Finding the Fourth Proportional to 844.54, 1,266.72 and 228.31

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Solution

The fourth proportional to 844.54, 1,266.72 and 228.31 is: 342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.54 : 1,266.72 = 228.31 : x
  2. Step 2: Convert to fraction form
    844.54/1,266.72 = 228.31/x
  3. Step 3: Cross multiply
    844.54x = 1,266.72 × 228.31
  4. Step 4: Simplify right side
    844.54x = 289,204.84
  5. Step 5: Solve for x
    x = 289,204.84/844.54
  6. Step 6: Final answer
    x = 342.44

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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.