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Finding the Fourth Proportional to 461.94, 638.39 and 412.73

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Solution

The fourth proportional to 461.94, 638.39 and 412.73 is: 570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.94 : 638.39 = 412.73 : x
  2. Step 2: Convert to fraction form
    461.94/638.39 = 412.73/x
  3. Step 3: Cross multiply
    461.94x = 638.39 × 412.73
  4. Step 4: Simplify right side
    461.94x = 263,480.64
  5. Step 5: Solve for x
    x = 263,480.64/461.94
  6. Step 6: Final answer
    x = 570.38

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Double scale
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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.