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Finding the Fourth Proportional to 323.48, 485.36 and 201.84

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Solution

The fourth proportional to 323.48, 485.36 and 201.84 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.48 : 485.36 = 201.84 : x
  2. Step 2: Convert to fraction form
    323.48/485.36 = 201.84/x
  3. Step 3: Cross multiply
    323.48x = 485.36 × 201.84
  4. Step 4: Simplify right side
    323.48x = 97,965.06
  5. Step 5: Solve for x
    x = 97,965.06/323.48
  6. Step 6: Final answer
    x = 302.85

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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.