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Finding the Fourth Proportional to 481.68, 722.64 and 193.14

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Solution

The fourth proportional to 481.68, 722.64 and 193.14 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.68 : 722.64 = 193.14 : x
  2. Step 2: Convert to fraction form
    481.68/722.64 = 193.14/x
  3. Step 3: Cross multiply
    481.68x = 722.64 × 193.14
  4. Step 4: Simplify right side
    481.68x = 139,570.69
  5. Step 5: Solve for x
    x = 139,570.69/481.68
  6. Step 6: Final answer
    x = 289.76

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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.