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Finding the Fourth Proportional to 310.59, 428.31 and 240.54

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Solution

The fourth proportional to 310.59, 428.31 and 240.54 is: 331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.59 : 428.31 = 240.54 : x
  2. Step 2: Convert to fraction form
    310.59/428.31 = 240.54/x
  3. Step 3: Cross multiply
    310.59x = 428.31 × 240.54
  4. Step 4: Simplify right side
    310.59x = 103,025.69
  5. Step 5: Solve for x
    x = 103,025.69/310.59
  6. Step 6: Final answer
    x = 331.71

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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.