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Finding the Fourth Proportional to 485.56, 670.19 and 310.80

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Solution

The fourth proportional to 485.56, 670.19 and 310.80 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.56 : 670.19 = 310.80 : x
  2. Step 2: Convert to fraction form
    485.56/670.19 = 310.80/x
  3. Step 3: Cross multiply
    485.56x = 670.19 × 310.80
  4. Step 4: Simplify right side
    485.56x = 208,295.05
  5. Step 5: Solve for x
    x = 208,295.05/485.56
  6. Step 6: Final answer
    x = 428.98

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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.