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Finding the Fourth Proportional to 486.44, 671.52 and 311.80

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Solution

The fourth proportional to 486.44, 671.52 and 311.80 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.44 : 671.52 = 311.80 : x
  2. Step 2: Convert to fraction form
    486.44/671.52 = 311.80/x
  3. Step 3: Cross multiply
    486.44x = 671.52 × 311.80
  4. Step 4: Simplify right side
    486.44x = 209,379.94
  5. Step 5: Solve for x
    x = 209,379.94/486.44
  6. Step 6: Final answer
    x = 430.43

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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.