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Finding the Fourth Proportional to 496.09, 744.14 and 171.49

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Solution

The fourth proportional to 496.09, 744.14 and 171.49 is: 257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.09 : 744.14 = 171.49 : x
  2. Step 2: Convert to fraction form
    496.09/744.14 = 171.49/x
  3. Step 3: Cross multiply
    496.09x = 744.14 × 171.49
  4. Step 4: Simplify right side
    496.09x = 127,612.57
  5. Step 5: Solve for x
    x = 127,612.57/496.09
  6. Step 6: Final answer
    x = 257.24

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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.