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Finding the Fourth Proportional to 321.24, 480.65 and 190.76

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Solution

The fourth proportional to 321.24, 480.65 and 190.76 is: 285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.24 : 480.65 = 190.76 : x
  2. Step 2: Convert to fraction form
    321.24/480.65 = 190.76/x
  3. Step 3: Cross multiply
    321.24x = 480.65 × 190.76
  4. Step 4: Simplify right side
    321.24x = 91,688.79
  5. Step 5: Solve for x
    x = 91,688.79/321.24
  6. Step 6: Final answer
    x = 285.42

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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.