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Finding the Fourth Proportional to 333.83, 501.09 and 231.32

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Solution

The fourth proportional to 333.83, 501.09 and 231.32 is: 347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.83 : 501.09 = 231.32 : x
  2. Step 2: Convert to fraction form
    333.83/501.09 = 231.32/x
  3. Step 3: Cross multiply
    333.83x = 501.09 × 231.32
  4. Step 4: Simplify right side
    333.83x = 115,912.14
  5. Step 5: Solve for x
    x = 115,912.14/333.83
  6. Step 6: Final answer
    x = 347.22

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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.