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Finding the Fourth Proportional to 844.36, 1,266.45 and 228.12

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Solution

The fourth proportional to 844.36, 1,266.45 and 228.12 is: 342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.36 : 1,266.45 = 228.12 : x
  2. Step 2: Convert to fraction form
    844.36/1,266.45 = 228.12/x
  3. Step 3: Cross multiply
    844.36x = 1,266.45 × 228.12
  4. Step 4: Simplify right side
    844.36x = 288,902.57
  5. Step 5: Solve for x
    x = 288,902.57/844.36
  6. Step 6: Final answer
    x = 342.16

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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.