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Finding the Fourth Proportional to 490.72, 676.44 and 412

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Solution

The fourth proportional to 490.72, 676.44 and 412 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.72 : 676.44 = 412 : x
  2. Step 2: Convert to fraction form
    490.72/676.44 = 412/x
  3. Step 3: Cross multiply
    490.72x = 676.44 × 412
  4. Step 4: Simplify right side
    490.72x = 278,693.28
  5. Step 5: Solve for x
    x = 278,693.28/490.72
  6. Step 6: Final answer
    x = 567.93

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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.