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Finding the Fourth Proportional to 490.38, 676.76 and 343.06

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Solution

The fourth proportional to 490.38, 676.76 and 343.06 is: 473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 676.76 = 343.06 : x
  2. Step 2: Convert to fraction form
    490.38/676.76 = 343.06/x
  3. Step 3: Cross multiply
    490.38x = 676.76 × 343.06
  4. Step 4: Simplify right side
    490.38x = 232,167.78
  5. Step 5: Solve for x
    x = 232,167.78/490.38
  6. Step 6: Final answer
    x = 473.45

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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.