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Finding the Fourth Proportional to 454.72, 682.40 and 198.24

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Solution

The fourth proportional to 454.72, 682.40 and 198.24 is: 297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.72 : 682.40 = 198.24 : x
  2. Step 2: Convert to fraction form
    454.72/682.40 = 198.24/x
  3. Step 3: Cross multiply
    454.72x = 682.40 × 198.24
  4. Step 4: Simplify right side
    454.72x = 135,278.98
  5. Step 5: Solve for x
    x = 135,278.98/454.72
  6. Step 6: Final answer
    x = 297.50

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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.