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Finding the Fourth Proportional to 402.04, 554.26 and 324.28

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Solution

The fourth proportional to 402.04, 554.26 and 324.28 is: 447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.04 : 554.26 = 324.28 : x
  2. Step 2: Convert to fraction form
    402.04/554.26 = 324.28/x
  3. Step 3: Cross multiply
    402.04x = 554.26 × 324.28
  4. Step 4: Simplify right side
    402.04x = 179,735.43
  5. Step 5: Solve for x
    x = 179,735.43/402.04
  6. Step 6: Final answer
    x = 447.06

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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.