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Finding the Fourth Proportional to 496.81, 744.94 and 208.03

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Solution

The fourth proportional to 496.81, 744.94 and 208.03 is: 311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.81 : 744.94 = 208.03 : x
  2. Step 2: Convert to fraction form
    496.81/744.94 = 208.03/x
  3. Step 3: Cross multiply
    496.81x = 744.94 × 208.03
  4. Step 4: Simplify right side
    496.81x = 154,969.87
  5. Step 5: Solve for x
    x = 154,969.87/496.81
  6. Step 6: Final answer
    x = 311.93

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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.