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Finding the Fourth Proportional to 271.44, 405.45 and 257.67

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Solution

The fourth proportional to 271.44, 405.45 and 257.67 is: 384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 405.45 = 257.67 : x
  2. Step 2: Convert to fraction form
    271.44/405.45 = 257.67/x
  3. Step 3: Cross multiply
    271.44x = 405.45 × 257.67
  4. Step 4: Simplify right side
    271.44x = 104,472.30
  5. Step 5: Solve for x
    x = 104,472.30/271.44
  6. Step 6: Final answer
    x = 384.88

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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.