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Finding the Fourth Proportional to 481.84, 723.05 and 193.25

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Solution

The fourth proportional to 481.84, 723.05 and 193.25 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.84 : 723.05 = 193.25 : x
  2. Step 2: Convert to fraction form
    481.84/723.05 = 193.25/x
  3. Step 3: Cross multiply
    481.84x = 723.05 × 193.25
  4. Step 4: Simplify right side
    481.84x = 139,729.41
  5. Step 5: Solve for x
    x = 139,729.41/481.84
  6. Step 6: Final answer
    x = 289.99

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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.