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Finding the Fourth Proportional to 613.39, 919.41 and 305.47

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Solution

The fourth proportional to 613.39, 919.41 and 305.47 is: 457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.39 : 919.41 = 305.47 : x
  2. Step 2: Convert to fraction form
    613.39/919.41 = 305.47/x
  3. Step 3: Cross multiply
    613.39x = 919.41 × 305.47
  4. Step 4: Simplify right side
    613.39x = 280,847.58
  5. Step 5: Solve for x
    x = 280,847.58/613.39
  6. Step 6: Final answer
    x = 457.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.