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Finding the Fourth Proportional to 312.25, 468.43 and 254.34

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Solution

The fourth proportional to 312.25, 468.43 and 254.34 is: 381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 468.43 = 254.34 : x
  2. Step 2: Convert to fraction form
    312.25/468.43 = 254.34/x
  3. Step 3: Cross multiply
    312.25x = 468.43 × 254.34
  4. Step 4: Simplify right side
    312.25x = 119,136.87
  5. Step 5: Solve for x
    x = 119,136.87/312.25
  6. Step 6: Final answer
    x = 381.54

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Why These Related Problems?

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