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Finding the Fourth Proportional to 321.81, 481.64 and 243.51

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Solution

The fourth proportional to 321.81, 481.64 and 243.51 is: 364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.81 : 481.64 = 243.51 : x
  2. Step 2: Convert to fraction form
    321.81/481.64 = 243.51/x
  3. Step 3: Cross multiply
    321.81x = 481.64 × 243.51
  4. Step 4: Simplify right side
    321.81x = 117,282.94
  5. Step 5: Solve for x
    x = 117,282.94/321.81
  6. Step 6: Final answer
    x = 364.45

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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.