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Finding the Fourth Proportional to 613.06, 845.73 and 364.23

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Solution

The fourth proportional to 613.06, 845.73 and 364.23 is: 502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.06 : 845.73 = 364.23 : x
  2. Step 2: Convert to fraction form
    613.06/845.73 = 364.23/x
  3. Step 3: Cross multiply
    613.06x = 845.73 × 364.23
  4. Step 4: Simplify right side
    613.06x = 308,044.78
  5. Step 5: Solve for x
    x = 308,044.78/613.06
  6. Step 6: Final answer
    x = 502.47

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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.