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Finding the Fourth Proportional to 321.14, 483.62 and 299.54

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Solution

The fourth proportional to 321.14, 483.62 and 299.54 is: 451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 483.62 = 299.54 : x
  2. Step 2: Convert to fraction form
    321.14/483.62 = 299.54/x
  3. Step 3: Cross multiply
    321.14x = 483.62 × 299.54
  4. Step 4: Simplify right side
    321.14x = 144,863.53
  5. Step 5: Solve for x
    x = 144,863.53/321.14
  6. Step 6: Final answer
    x = 451.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.