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Finding the Fourth Proportional to 481.50, 722.66 and 192.94

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Solution

The fourth proportional to 481.50, 722.66 and 192.94 is: 289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.50 : 722.66 = 192.94 : x
  2. Step 2: Convert to fraction form
    481.50/722.66 = 192.94/x
  3. Step 3: Cross multiply
    481.50x = 722.66 × 192.94
  4. Step 4: Simplify right side
    481.50x = 139,427.25
  5. Step 5: Solve for x
    x = 139,427.25/481.50
  6. Step 6: Final answer
    x = 289.57

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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.