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Finding the Fourth Proportional to 496.53, 744.96 and 188.41

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Solution

The fourth proportional to 496.53, 744.96 and 188.41 is: 282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 744.96 = 188.41 : x
  2. Step 2: Convert to fraction form
    496.53/744.96 = 188.41/x
  3. Step 3: Cross multiply
    496.53x = 744.96 × 188.41
  4. Step 4: Simplify right side
    496.53x = 140,356.05
  5. Step 5: Solve for x
    x = 140,356.05/496.53
  6. Step 6: Final answer
    x = 282.67

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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.