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Finding the Fourth Proportional to 458.46, 687.99 and 169.86

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Solution

The fourth proportional to 458.46, 687.99 and 169.86 is: 254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.46 : 687.99 = 169.86 : x
  2. Step 2: Convert to fraction form
    458.46/687.99 = 169.86/x
  3. Step 3: Cross multiply
    458.46x = 687.99 × 169.86
  4. Step 4: Simplify right side
    458.46x = 116,861.98
  5. Step 5: Solve for x
    x = 116,861.98/458.46
  6. Step 6: Final answer
    x = 254.90

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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.