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Finding the Fourth Proportional to 626.33, 865.16 and 480.77

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Solution

The fourth proportional to 626.33, 865.16 and 480.77 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.33 : 865.16 = 480.77 : x
  2. Step 2: Convert to fraction form
    626.33/865.16 = 480.77/x
  3. Step 3: Cross multiply
    626.33x = 865.16 × 480.77
  4. Step 4: Simplify right side
    626.33x = 415,939.85
  5. Step 5: Solve for x
    x = 415,939.85/626.33
  6. Step 6: Final answer
    x = 664.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.