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Finding the Fourth Proportional to 401.63, 554.28 and 254.37

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Solution

The fourth proportional to 401.63, 554.28 and 254.37 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 554.28 = 254.37 : x
  2. Step 2: Convert to fraction form
    401.63/554.28 = 254.37/x
  3. Step 3: Cross multiply
    401.63x = 554.28 × 254.37
  4. Step 4: Simplify right side
    401.63x = 140,993.33
  5. Step 5: Solve for x
    x = 140,993.33/401.63
  6. Step 6: Final answer
    x = 351.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.