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Finding the Fourth Proportional to 495.14, 742.69 and 170.49

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Solution

The fourth proportional to 495.14, 742.69 and 170.49 is: 255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.14 : 742.69 = 170.49 : x
  2. Step 2: Convert to fraction form
    495.14/742.69 = 170.49/x
  3. Step 3: Cross multiply
    495.14x = 742.69 × 170.49
  4. Step 4: Simplify right side
    495.14x = 126,624.22
  5. Step 5: Solve for x
    x = 126,624.22/495.14
  6. Step 6: Final answer
    x = 255.74

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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.