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Finding the Fourth Proportional to 551.56, 827.36 and 442.84

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Solution

The fourth proportional to 551.56, 827.36 and 442.84 is: 664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.56 : 827.36 = 442.84 : x
  2. Step 2: Convert to fraction form
    551.56/827.36 = 442.84/x
  3. Step 3: Cross multiply
    551.56x = 827.36 × 442.84
  4. Step 4: Simplify right side
    551.56x = 366,388.10
  5. Step 5: Solve for x
    x = 366,388.10/551.56
  6. Step 6: Final answer
    x = 664.28

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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.