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Finding the Fourth Proportional to 613.16, 919.86 and 305.18

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Solution

The fourth proportional to 613.16, 919.86 and 305.18 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.16 : 919.86 = 305.18 : x
  2. Step 2: Convert to fraction form
    613.16/919.86 = 305.18/x
  3. Step 3: Cross multiply
    613.16x = 919.86 × 305.18
  4. Step 4: Simplify right side
    613.16x = 280,722.87
  5. Step 5: Solve for x
    x = 280,722.87/613.16
  6. Step 6: Final answer
    x = 457.83

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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.