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Finding the Fourth Proportional to 496.38, 744.53 and 171.71

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Solution

The fourth proportional to 496.38, 744.53 and 171.71 is: 257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.38 : 744.53 = 171.71 : x
  2. Step 2: Convert to fraction form
    496.38/744.53 = 171.71/x
  3. Step 3: Cross multiply
    496.38x = 744.53 × 171.71
  4. Step 4: Simplify right side
    496.38x = 127,839.52
  5. Step 5: Solve for x
    x = 127,839.52/496.38
  6. Step 6: Final answer
    x = 257.54

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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.