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Finding the Fourth Proportional to 613.44, 919.53 and 304.74

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Solution

The fourth proportional to 613.44, 919.53 and 304.74 is: 456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.44 : 919.53 = 304.74 : x
  2. Step 2: Convert to fraction form
    613.44/919.53 = 304.74/x
  3. Step 3: Cross multiply
    613.44x = 919.53 × 304.74
  4. Step 4: Simplify right side
    613.44x = 280,217.57
  5. Step 5: Solve for x
    x = 280,217.57/613.44
  6. Step 6: Final answer
    x = 456.80

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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.