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Finding the Fourth Proportional to 312.63, 468.09 and 254.71

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Solution

The fourth proportional to 312.63, 468.09 and 254.71 is: 381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.63 : 468.09 = 254.71 : x
  2. Step 2: Convert to fraction form
    312.63/468.09 = 254.71/x
  3. Step 3: Cross multiply
    312.63x = 468.09 × 254.71
  4. Step 4: Simplify right side
    312.63x = 119,227.20
  5. Step 5: Solve for x
    x = 119,227.20/312.63
  6. Step 6: Final answer
    x = 381.37

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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.