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Finding the Fourth Proportional to 619.20, 855.36 and 489.84

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Solution

The fourth proportional to 619.20, 855.36 and 489.84 is: 676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.20 : 855.36 = 489.84 : x
  2. Step 2: Convert to fraction form
    619.20/855.36 = 489.84/x
  3. Step 3: Cross multiply
    619.20x = 855.36 × 489.84
  4. Step 4: Simplify right side
    619.20x = 418,989.54
  5. Step 5: Solve for x
    x = 418,989.54/619.20
  6. Step 6: Final answer
    x = 676.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.