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Finding the Fourth Proportional to 310.45, 464.97 and 201.91

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Solution

The fourth proportional to 310.45, 464.97 and 201.91 is: 302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.45 : 464.97 = 201.91 : x
  2. Step 2: Convert to fraction form
    310.45/464.97 = 201.91/x
  3. Step 3: Cross multiply
    310.45x = 464.97 × 201.91
  4. Step 4: Simplify right side
    310.45x = 93,882.09
  5. Step 5: Solve for x
    x = 93,882.09/310.45
  6. Step 6: Final answer
    x = 302.41

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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.