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Finding the Fourth Proportional to 698.33, 962.96 and 449.44

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Solution

The fourth proportional to 698.33, 962.96 and 449.44 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.33 : 962.96 = 449.44 : x
  2. Step 2: Convert to fraction form
    698.33/962.96 = 449.44/x
  3. Step 3: Cross multiply
    698.33x = 962.96 × 449.44
  4. Step 4: Simplify right side
    698.33x = 432,788.09
  5. Step 5: Solve for x
    x = 432,788.09/698.33
  6. Step 6: Final answer
    x = 619.75

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