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Finding the Fourth Proportional to 334.05, 498.26 and 311.37

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Solution

The fourth proportional to 334.05, 498.26 and 311.37 is: 464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.05 : 498.26 = 311.37 : x
  2. Step 2: Convert to fraction form
    334.05/498.26 = 311.37/x
  3. Step 3: Cross multiply
    334.05x = 498.26 × 311.37
  4. Step 4: Simplify right side
    334.05x = 155,141.66
  5. Step 5: Solve for x
    x = 155,141.66/334.05
  6. Step 6: Final answer
    x = 464.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.