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Finding the Fourth Proportional to 310.75, 425.65 and 306.80

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Solution

The fourth proportional to 310.75, 425.65 and 306.80 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.75 : 425.65 = 306.80 : x
  2. Step 2: Convert to fraction form
    310.75/425.65 = 306.80/x
  3. Step 3: Cross multiply
    310.75x = 425.65 × 306.80
  4. Step 4: Simplify right side
    310.75x = 130,589.42
  5. Step 5: Solve for x
    x = 130,589.42/310.75
  6. Step 6: Final answer
    x = 420.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.