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Finding the Fourth Proportional to 355.34, 490.30 and 213.54

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Solution

The fourth proportional to 355.34, 490.30 and 213.54 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 490.30 = 213.54 : x
  2. Step 2: Convert to fraction form
    355.34/490.30 = 213.54/x
  3. Step 3: Cross multiply
    355.34x = 490.30 × 213.54
  4. Step 4: Simplify right side
    355.34x = 104,698.66
  5. Step 5: Solve for x
    x = 104,698.66/355.34
  6. Step 6: Final answer
    x = 294.64

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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.