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Finding the Fourth Proportional to 401.67, 554.34 and 254.43

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Solution

The fourth proportional to 401.67, 554.34 and 254.43 is: 351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 554.34 = 254.43 : x
  2. Step 2: Convert to fraction form
    401.67/554.34 = 254.43/x
  3. Step 3: Cross multiply
    401.67x = 554.34 × 254.43
  4. Step 4: Simplify right side
    401.67x = 141,040.73
  5. Step 5: Solve for x
    x = 141,040.73/401.67
  6. Step 6: Final answer
    x = 351.14

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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.