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Finding the Fourth Proportional to 274.32, 412.22 and 255.85

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Solution

The fourth proportional to 274.32, 412.22 and 255.85 is: 384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 412.22 = 255.85 : x
  2. Step 2: Convert to fraction form
    274.32/412.22 = 255.85/x
  3. Step 3: Cross multiply
    274.32x = 412.22 × 255.85
  4. Step 4: Simplify right side
    274.32x = 105,466.10
  5. Step 5: Solve for x
    x = 105,466.10/274.32
  6. Step 6: Final answer
    x = 384.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.