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Finding the Fourth Proportional to 551.36, 827.44 and 449.84

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Solution

The fourth proportional to 551.36, 827.44 and 449.84 is: 675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.36 : 827.44 = 449.84 : x
  2. Step 2: Convert to fraction form
    551.36/827.44 = 449.84/x
  3. Step 3: Cross multiply
    551.36x = 827.44 × 449.84
  4. Step 4: Simplify right side
    551.36x = 372,215.61
  5. Step 5: Solve for x
    x = 372,215.61/551.36
  6. Step 6: Final answer
    x = 675.09

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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.