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Finding the Fourth Proportional to 321.43, 482.14 and 77.96

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Solution

The fourth proportional to 321.43, 482.14 and 77.96 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.43 : 482.14 = 77.96 : x
  2. Step 2: Convert to fraction form
    321.43/482.14 = 77.96/x
  3. Step 3: Cross multiply
    321.43x = 482.14 × 77.96
  4. Step 4: Simplify right side
    321.43x = 37,586.02
  5. Step 5: Solve for x
    x = 37,586.02/321.43
  6. Step 6: Final answer
    x = 116.93

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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.