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Finding the Fourth Proportional to 495.09, 742.39 and 170.41

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Solution

The fourth proportional to 495.09, 742.39 and 170.41 is: 255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.09 : 742.39 = 170.41 : x
  2. Step 2: Convert to fraction form
    495.09/742.39 = 170.41/x
  3. Step 3: Cross multiply
    495.09x = 742.39 × 170.41
  4. Step 4: Simplify right side
    495.09x = 126,510.68
  5. Step 5: Solve for x
    x = 126,510.68/495.09
  6. Step 6: Final answer
    x = 255.53

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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.