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Finding the Fourth Proportional to 458.42, 687.54 and 169.79

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Solution

The fourth proportional to 458.42, 687.54 and 169.79 is: 254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.42 : 687.54 = 169.79 : x
  2. Step 2: Convert to fraction form
    458.42/687.54 = 169.79/x
  3. Step 3: Cross multiply
    458.42x = 687.54 × 169.79
  4. Step 4: Simplify right side
    458.42x = 116,733.98
  5. Step 5: Solve for x
    x = 116,733.98/458.42
  6. Step 6: Final answer
    x = 254.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.