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Finding the Fourth Proportional to 409.55, 615 and 227.30

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Solution

The fourth proportional to 409.55, 615 and 227.30 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.55 : 615 = 227.30 : x
  2. Step 2: Convert to fraction form
    409.55/615 = 227.30/x
  3. Step 3: Cross multiply
    409.55x = 615 × 227.30
  4. Step 4: Simplify right side
    409.55x = 139,786.43
  5. Step 5: Solve for x
    x = 139,786.43/409.55
  6. Step 6: Final answer
    x = 341.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.