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Finding the Fourth Proportional to 496.26, 685.53 and 471.96

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Solution

The fourth proportional to 496.26, 685.53 and 471.96 is: 651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.26 : 685.53 = 471.96 : x
  2. Step 2: Convert to fraction form
    496.26/685.53 = 471.96/x
  3. Step 3: Cross multiply
    496.26x = 685.53 × 471.96
  4. Step 4: Simplify right side
    496.26x = 323,542.74
  5. Step 5: Solve for x
    x = 323,542.74/496.26
  6. Step 6: Final answer
    x = 651.96

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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.