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Finding the Fourth Proportional to 490.83, 677.58 and 334.29

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Solution

The fourth proportional to 490.83, 677.58 and 334.29 is: 461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.83 : 677.58 = 334.29 : x
  2. Step 2: Convert to fraction form
    490.83/677.58 = 334.29/x
  3. Step 3: Cross multiply
    490.83x = 677.58 × 334.29
  4. Step 4: Simplify right side
    490.83x = 226,508.22
  5. Step 5: Solve for x
    x = 226,508.22/490.83
  6. Step 6: Final answer
    x = 461.48

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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.