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Finding the Fourth Proportional to 613.28, 919.02 and 305.12

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Solution

The fourth proportional to 613.28, 919.02 and 305.12 is: 457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.28 : 919.02 = 305.12 : x
  2. Step 2: Convert to fraction form
    613.28/919.02 = 305.12/x
  3. Step 3: Cross multiply
    613.28x = 919.02 × 305.12
  4. Step 4: Simplify right side
    613.28x = 280,411.38
  5. Step 5: Solve for x
    x = 280,411.38/613.28
  6. Step 6: Final answer
    x = 457.23

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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.