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Finding the Fourth Proportional to 613, 845.82 and 364.23

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Solution

The fourth proportional to 613, 845.82 and 364.23 is: 502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 845.82 = 364.23 : x
  2. Step 2: Convert to fraction form
    613/845.82 = 364.23/x
  3. Step 3: Cross multiply
    613x = 845.82 × 364.23
  4. Step 4: Simplify right side
    613x = 308,073.02
  5. Step 5: Solve for x
    x = 308,073.02/613
  6. Step 6: Final answer
    x = 502.57

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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.