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Finding the Fourth Proportional to 646.99, 892.89 and 363.43

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Solution

The fourth proportional to 646.99, 892.89 and 363.43 is: 501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.99 : 892.89 = 363.43 : x
  2. Step 2: Convert to fraction form
    646.99/892.89 = 363.43/x
  3. Step 3: Cross multiply
    646.99x = 892.89 × 363.43
  4. Step 4: Simplify right side
    646.99x = 324,503.01
  5. Step 5: Solve for x
    x = 324,503.01/646.99
  6. Step 6: Final answer
    x = 501.56

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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.