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Finding the Fourth Proportional to 490.25, 675.12 and 402.03

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Solution

The fourth proportional to 490.25, 675.12 and 402.03 is: 553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 675.12 = 402.03 : x
  2. Step 2: Convert to fraction form
    490.25/675.12 = 402.03/x
  3. Step 3: Cross multiply
    490.25x = 675.12 × 402.03
  4. Step 4: Simplify right side
    490.25x = 271,418.49
  5. Step 5: Solve for x
    x = 271,418.49/490.25
  6. Step 6: Final answer
    x = 553.64

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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.