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Finding the Fourth Proportional to 323.23, 485.04 and 200.00

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Solution

The fourth proportional to 323.23, 485.04 and 200.00 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.23 : 485.04 = 200.00 : x
  2. Step 2: Convert to fraction form
    323.23/485.04 = 200.00/x
  3. Step 3: Cross multiply
    323.23x = 485.04 × 200.00
  4. Step 4: Simplify right side
    323.23x = 97,004.82
  5. Step 5: Solve for x
    x = 97,004.82/323.23
  6. Step 6: Final answer
    x = 300.11

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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.