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Finding the Fourth Proportional to 550.91, 827.78 and 414.83

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Solution

The fourth proportional to 550.91, 827.78 and 414.83 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.91 : 827.78 = 414.83 : x
  2. Step 2: Convert to fraction form
    550.91/827.78 = 414.83/x
  3. Step 3: Cross multiply
    550.91x = 827.78 × 414.83
  4. Step 4: Simplify right side
    550.91x = 343,381.76
  5. Step 5: Solve for x
    x = 343,381.76/550.91
  6. Step 6: Final answer
    x = 623.30

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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.