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Finding the Fourth Proportional to 317.99, 477.26 and 254.27

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Solution

The fourth proportional to 317.99, 477.26 and 254.27 is: 381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.99 : 477.26 = 254.27 : x
  2. Step 2: Convert to fraction form
    317.99/477.26 = 254.27/x
  3. Step 3: Cross multiply
    317.99x = 477.26 × 254.27
  4. Step 4: Simplify right side
    317.99x = 121,352.90
  5. Step 5: Solve for x
    x = 121,352.90/317.99
  6. Step 6: Final answer
    x = 381.62

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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.