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Finding the Fourth Proportional to 321.01, 481.04 and 286.23

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Solution

The fourth proportional to 321.01, 481.04 and 286.23 is: 428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.01 : 481.04 = 286.23 : x
  2. Step 2: Convert to fraction form
    321.01/481.04 = 286.23/x
  3. Step 3: Cross multiply
    321.01x = 481.04 × 286.23
  4. Step 4: Simplify right side
    321.01x = 137,689.53
  5. Step 5: Solve for x
    x = 137,689.53/321.01
  6. Step 6: Final answer
    x = 428.92

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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.