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Finding the Fourth Proportional to 613.13, 845.84 and 364.31

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Solution

The fourth proportional to 613.13, 845.84 and 364.31 is: 502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.13 : 845.84 = 364.31 : x
  2. Step 2: Convert to fraction form
    613.13/845.84 = 364.31/x
  3. Step 3: Cross multiply
    613.13x = 845.84 × 364.31
  4. Step 4: Simplify right side
    613.13x = 308,147.97
  5. Step 5: Solve for x
    x = 308,147.97/613.13
  6. Step 6: Final answer
    x = 502.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.