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Finding the Fourth Proportional to 274.70, 409.35 and 267.18

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Solution

The fourth proportional to 274.70, 409.35 and 267.18 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.70 : 409.35 = 267.18 : x
  2. Step 2: Convert to fraction form
    274.70/409.35 = 267.18/x
  3. Step 3: Cross multiply
    274.70x = 409.35 × 267.18
  4. Step 4: Simplify right side
    274.70x = 109,368.60
  5. Step 5: Solve for x
    x = 109,368.60/274.70
  6. Step 6: Final answer
    x = 398.15

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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.