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Finding the Fourth Proportional to 355.42, 490.59 and 238.98

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Solution

The fourth proportional to 355.42, 490.59 and 238.98 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.42 : 490.59 = 238.98 : x
  2. Step 2: Convert to fraction form
    355.42/490.59 = 238.98/x
  3. Step 3: Cross multiply
    355.42x = 490.59 × 238.98
  4. Step 4: Simplify right side
    355.42x = 117,241.20
  5. Step 5: Solve for x
    x = 117,241.20/355.42
  6. Step 6: Final answer
    x = 329.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.