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Finding the Fourth Proportional to 454.88, 682.59 and 198.38

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Solution

The fourth proportional to 454.88, 682.59 and 198.38 is: 297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.88 : 682.59 = 198.38 : x
  2. Step 2: Convert to fraction form
    454.88/682.59 = 198.38/x
  3. Step 3: Cross multiply
    454.88x = 682.59 × 198.38
  4. Step 4: Simplify right side
    454.88x = 135,408.79
  5. Step 5: Solve for x
    x = 135,408.79/454.88
  6. Step 6: Final answer
    x = 297.68

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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.