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Finding the Fourth Proportional to 490.05, 676.96 and 464.13

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Solution

The fourth proportional to 490.05, 676.96 and 464.13 is: 641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.05 : 676.96 = 464.13 : x
  2. Step 2: Convert to fraction form
    490.05/676.96 = 464.13/x
  3. Step 3: Cross multiply
    490.05x = 676.96 × 464.13
  4. Step 4: Simplify right side
    490.05x = 314,196.28
  5. Step 5: Solve for x
    x = 314,196.28/490.05
  6. Step 6: Final answer
    x = 641.15

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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.