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Finding the Fourth Proportional to 454.64, 682.09 and 194.65

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Solution

The fourth proportional to 454.64, 682.09 and 194.65 is: 292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.64 : 682.09 = 194.65 : x
  2. Step 2: Convert to fraction form
    454.64/682.09 = 194.65/x
  3. Step 3: Cross multiply
    454.64x = 682.09 × 194.65
  4. Step 4: Simplify right side
    454.64x = 132,770.46
  5. Step 5: Solve for x
    x = 132,770.46/454.64
  6. Step 6: Final answer
    x = 292.04

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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.