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Finding the Fourth Proportional to 286.08, 426.96 and 274.32

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Solution

The fourth proportional to 286.08, 426.96 and 274.32 is: 409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.08 : 426.96 = 274.32 : x
  2. Step 2: Convert to fraction form
    286.08/426.96 = 274.32/x
  3. Step 3: Cross multiply
    286.08x = 426.96 × 274.32
  4. Step 4: Simplify right side
    286.08x = 117,123.67
  5. Step 5: Solve for x
    x = 117,123.67/286.08
  6. Step 6: Final answer
    x = 409.41

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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.