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Finding the Fourth Proportional to 646.99, 892.87 and 367.23

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Solution

The fourth proportional to 646.99, 892.87 and 367.23 is: 506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.99 : 892.87 = 367.23 : x
  2. Step 2: Convert to fraction form
    646.99/892.87 = 367.23/x
  3. Step 3: Cross multiply
    646.99x = 892.87 × 367.23
  4. Step 4: Simplify right side
    646.99x = 327,893.15
  5. Step 5: Solve for x
    x = 327,893.15/646.99
  6. Step 6: Final answer
    x = 506.80

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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.