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Finding the Fourth Proportional to 550.82, 827.45 and 429.32

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Solution

The fourth proportional to 550.82, 827.45 and 429.32 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.82 : 827.45 = 429.32 : x
  2. Step 2: Convert to fraction form
    550.82/827.45 = 429.32/x
  3. Step 3: Cross multiply
    550.82x = 827.45 × 429.32
  4. Step 4: Simplify right side
    550.82x = 355,240.83
  5. Step 5: Solve for x
    x = 355,240.83/550.82
  6. Step 6: Final answer
    x = 644.93

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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.