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Finding the Fourth Proportional to 326, 487.78 and 203.69

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Solution

The fourth proportional to 326, 487.78 and 203.69 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326 : 487.78 = 203.69 : x
  2. Step 2: Convert to fraction form
    326/487.78 = 203.69/x
  3. Step 3: Cross multiply
    326x = 487.78 × 203.69
  4. Step 4: Simplify right side
    326x = 99,355.91
  5. Step 5: Solve for x
    x = 99,355.91/326
  6. Step 6: Final answer
    x = 304.77

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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.