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Finding the Fourth Proportional to 496.14, 744.37 and 298.70

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Solution

The fourth proportional to 496.14, 744.37 and 298.70 is: 448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.14 : 744.37 = 298.70 : x
  2. Step 2: Convert to fraction form
    496.14/744.37 = 298.70/x
  3. Step 3: Cross multiply
    496.14x = 744.37 × 298.70
  4. Step 4: Simplify right side
    496.14x = 222,340.25
  5. Step 5: Solve for x
    x = 222,340.25/496.14
  6. Step 6: Final answer
    x = 448.14

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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.