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Finding the Fourth Proportional to 490.65, 677.34 and 334.10

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Solution

The fourth proportional to 490.65, 677.34 and 334.10 is: 461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.65 : 677.34 = 334.10 : x
  2. Step 2: Convert to fraction form
    490.65/677.34 = 334.10/x
  3. Step 3: Cross multiply
    490.65x = 677.34 × 334.10
  4. Step 4: Simplify right side
    490.65x = 226,295.91
  5. Step 5: Solve for x
    x = 226,295.91/490.65
  6. Step 6: Final answer
    x = 461.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.