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Finding the Fourth Proportional to 454.56, 682.09 and 194.53

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Solution

The fourth proportional to 454.56, 682.09 and 194.53 is: 291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.56 : 682.09 = 194.53 : x
  2. Step 2: Convert to fraction form
    454.56/682.09 = 194.53/x
  3. Step 3: Cross multiply
    454.56x = 682.09 × 194.53
  4. Step 4: Simplify right side
    454.56x = 132,686.97
  5. Step 5: Solve for x
    x = 132,686.97/454.56
  6. Step 6: Final answer
    x = 291.90

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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.