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Finding the Fourth Proportional to 355.72, 490.11 and 239.08

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Solution

The fourth proportional to 355.72, 490.11 and 239.08 is: 329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.72 : 490.11 = 239.08 : x
  2. Step 2: Convert to fraction form
    355.72/490.11 = 239.08/x
  3. Step 3: Cross multiply
    355.72x = 490.11 × 239.08
  4. Step 4: Simplify right side
    355.72x = 117,175.50
  5. Step 5: Solve for x
    x = 117,175.50/355.72
  6. Step 6: Final answer
    x = 329.40

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Why These Related Problems?

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