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Finding the Fourth Proportional to 350.92, 523.31 and 334.36

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Solution

The fourth proportional to 350.92, 523.31 and 334.36 is: 498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.92 : 523.31 = 334.36 : x
  2. Step 2: Convert to fraction form
    350.92/523.31 = 334.36/x
  3. Step 3: Cross multiply
    350.92x = 523.31 × 334.36
  4. Step 4: Simplify right side
    350.92x = 174,973.93
  5. Step 5: Solve for x
    x = 174,973.93/350.92
  6. Step 6: Final answer
    x = 498.61

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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.