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Finding the Fourth Proportional to 693.63, 1,040.33 and 231.33

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Solution

The fourth proportional to 693.63, 1,040.33 and 231.33 is: 346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.63 : 1,040.33 = 231.33 : x
  2. Step 2: Convert to fraction form
    693.63/1,040.33 = 231.33/x
  3. Step 3: Cross multiply
    693.63x = 1,040.33 × 231.33
  4. Step 4: Simplify right side
    693.63x = 240,654.34
  5. Step 5: Solve for x
    x = 240,654.34/693.63
  6. Step 6: Final answer
    x = 346.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.