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Finding the Fourth Proportional to 488.44, 733.14 and 448.84

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Solution

The fourth proportional to 488.44, 733.14 and 448.84 is: 673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.44 : 733.14 = 448.84 : x
  2. Step 2: Convert to fraction form
    488.44/733.14 = 448.84/x
  3. Step 3: Cross multiply
    488.44x = 733.14 × 448.84
  4. Step 4: Simplify right side
    488.44x = 329,062.56
  5. Step 5: Solve for x
    x = 329,062.56/488.44
  6. Step 6: Final answer
    x = 673.70

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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.