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Finding the Fourth Proportional to 496.37, 744.66 and 171.75

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Solution

The fourth proportional to 496.37, 744.66 and 171.75 is: 257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.37 : 744.66 = 171.75 : x
  2. Step 2: Convert to fraction form
    496.37/744.66 = 171.75/x
  3. Step 3: Cross multiply
    496.37x = 744.66 × 171.75
  4. Step 4: Simplify right side
    496.37x = 127,895.36
  5. Step 5: Solve for x
    x = 127,895.36/496.37
  6. Step 6: Final answer
    x = 257.66

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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.