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Finding the Fourth Proportional to 458.44, 687.58 and 169.84

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Solution

The fourth proportional to 458.44, 687.58 and 169.84 is: 254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 687.58 = 169.84 : x
  2. Step 2: Convert to fraction form
    458.44/687.58 = 169.84/x
  3. Step 3: Cross multiply
    458.44x = 687.58 × 169.84
  4. Step 4: Simplify right side
    458.44x = 116,778.59
  5. Step 5: Solve for x
    x = 116,778.59/458.44
  6. Step 6: Final answer
    x = 254.73

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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.