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Finding the Fourth Proportional to 496.53, 685.24 and 310.12

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Solution

The fourth proportional to 496.53, 685.24 and 310.12 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 685.24 = 310.12 : x
  2. Step 2: Convert to fraction form
    496.53/685.24 = 310.12/x
  3. Step 3: Cross multiply
    496.53x = 685.24 × 310.12
  4. Step 4: Simplify right side
    496.53x = 212,504.14
  5. Step 5: Solve for x
    x = 212,504.14/496.53
  6. Step 6: Final answer
    x = 427.98

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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.