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Finding the Fourth Proportional to 613.44, 846 and 496.80

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Solution

The fourth proportional to 613.44, 846 and 496.80 is: 685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.44 : 846 = 496.80 : x
  2. Step 2: Convert to fraction form
    613.44/846 = 496.80/x
  3. Step 3: Cross multiply
    613.44x = 846 × 496.80
  4. Step 4: Simplify right side
    613.44x = 420,292.80
  5. Step 5: Solve for x
    x = 420,292.80/613.44
  6. Step 6: Final answer
    x = 685.14

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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.