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Finding the Fourth Proportional to 551.94, 828.24 and 414.78

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Solution

The fourth proportional to 551.94, 828.24 and 414.78 is: 622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.94 : 828.24 = 414.78 : x
  2. Step 2: Convert to fraction form
    551.94/828.24 = 414.78/x
  3. Step 3: Cross multiply
    551.94x = 828.24 × 414.78
  4. Step 4: Simplify right side
    551.94x = 343,537.39
  5. Step 5: Solve for x
    x = 343,537.39/551.94
  6. Step 6: Final answer
    x = 622.42

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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.