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Finding the Fourth Proportional to 355.72, 490.86 and 224.68

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Solution

The fourth proportional to 355.72, 490.86 and 224.68 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.72 : 490.86 = 224.68 : x
  2. Step 2: Convert to fraction form
    355.72/490.86 = 224.68/x
  3. Step 3: Cross multiply
    355.72x = 490.86 × 224.68
  4. Step 4: Simplify right side
    355.72x = 110,286.42
  5. Step 5: Solve for x
    x = 110,286.42/355.72
  6. Step 6: Final answer
    x = 310.04

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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.