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Finding the Fourth Proportional to 262.40, 361.84 and 256.44

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Solution

The fourth proportional to 262.40, 361.84 and 256.44 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 361.84 = 256.44 : x
  2. Step 2: Convert to fraction form
    262.40/361.84 = 256.44/x
  3. Step 3: Cross multiply
    262.40x = 361.84 × 256.44
  4. Step 4: Simplify right side
    262.40x = 92,790.25
  5. Step 5: Solve for x
    x = 92,790.25/262.40
  6. Step 6: Final answer
    x = 353.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.