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Finding the Fourth Proportional to 274.56, 409.60 and 268.16

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Solution

The fourth proportional to 274.56, 409.60 and 268.16 is: 400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.56 : 409.60 = 268.16 : x
  2. Step 2: Convert to fraction form
    274.56/409.60 = 268.16/x
  3. Step 3: Cross multiply
    274.56x = 409.60 × 268.16
  4. Step 4: Simplify right side
    274.56x = 109,838.34
  5. Step 5: Solve for x
    x = 109,838.34/274.56
  6. Step 6: Final answer
    x = 400.05

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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.