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Finding the Fourth Proportional to 309.37, 463.97 and 201.73

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Solution

The fourth proportional to 309.37, 463.97 and 201.73 is: 302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.37 : 463.97 = 201.73 : x
  2. Step 2: Convert to fraction form
    309.37/463.97 = 201.73/x
  3. Step 3: Cross multiply
    309.37x = 463.97 × 201.73
  4. Step 4: Simplify right side
    309.37x = 93,595.66
  5. Step 5: Solve for x
    x = 93,595.66/309.37
  6. Step 6: Final answer
    x = 302.54

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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.