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Finding the Fourth Proportional to 274.21, 409.19 and 245.00

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Solution

The fourth proportional to 274.21, 409.19 and 245.00 is: 365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.21 : 409.19 = 245.00 : x
  2. Step 2: Convert to fraction form
    274.21/409.19 = 245.00/x
  3. Step 3: Cross multiply
    274.21x = 409.19 × 245.00
  4. Step 4: Simplify right side
    274.21x = 100,253.99
  5. Step 5: Solve for x
    x = 100,253.99/274.21
  6. Step 6: Final answer
    x = 365.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.