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Finding the Fourth Proportional to 844.96, 1,267.44 and 228.67

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Solution

The fourth proportional to 844.96, 1,267.44 and 228.67 is: 343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.96 : 1,267.44 = 228.67 : x
  2. Step 2: Convert to fraction form
    844.96/1,267.44 = 228.67/x
  3. Step 3: Cross multiply
    844.96x = 1,267.44 × 228.67
  4. Step 4: Simplify right side
    844.96x = 289,819.17
  5. Step 5: Solve for x
    x = 289,819.17/844.96
  6. Step 6: Final answer
    x = 343.00

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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.