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Finding the Fourth Proportional to 490.42, 735.63 and 233.14

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Solution

The fourth proportional to 490.42, 735.63 and 233.14 is: 349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 735.63 = 233.14 : x
  2. Step 2: Convert to fraction form
    490.42/735.63 = 233.14/x
  3. Step 3: Cross multiply
    490.42x = 735.63 × 233.14
  4. Step 4: Simplify right side
    490.42x = 171,504.78
  5. Step 5: Solve for x
    x = 171,504.78/490.42
  6. Step 6: Final answer
    x = 349.71

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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.