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Finding the Fourth Proportional to 323.49, 484.02 and 201.72

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Solution

The fourth proportional to 323.49, 484.02 and 201.72 is: 301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.49 : 484.02 = 201.72 : x
  2. Step 2: Convert to fraction form
    323.49/484.02 = 201.72/x
  3. Step 3: Cross multiply
    323.49x = 484.02 × 201.72
  4. Step 4: Simplify right side
    323.49x = 97,636.51
  5. Step 5: Solve for x
    x = 97,636.51/323.49
  6. Step 6: Final answer
    x = 301.82

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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.