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Finding the Fourth Proportional to 355.48, 490.36 and 224.44

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Solution

The fourth proportional to 355.48, 490.36 and 224.44 is: 309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.48 : 490.36 = 224.44 : x
  2. Step 2: Convert to fraction form
    355.48/490.36 = 224.44/x
  3. Step 3: Cross multiply
    355.48x = 490.36 × 224.44
  4. Step 4: Simplify right side
    355.48x = 110,056.40
  5. Step 5: Solve for x
    x = 110,056.40/355.48
  6. Step 6: Final answer
    x = 309.60

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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.