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Finding the Fourth Proportional to 323.10, 483.83 and 296.37

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Solution

The fourth proportional to 323.10, 483.83 and 296.37 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.10 : 483.83 = 296.37 : x
  2. Step 2: Convert to fraction form
    323.10/483.83 = 296.37/x
  3. Step 3: Cross multiply
    323.10x = 483.83 × 296.37
  4. Step 4: Simplify right side
    323.10x = 143,391.22
  5. Step 5: Solve for x
    x = 143,391.22/323.10
  6. Step 6: Final answer
    x = 443.80

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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.