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Finding the Fourth Proportional to 646.65, 892.01 and 422.27

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Solution

The fourth proportional to 646.65, 892.01 and 422.27 is: 582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.65 : 892.01 = 422.27 : x
  2. Step 2: Convert to fraction form
    646.65/892.01 = 422.27/x
  3. Step 3: Cross multiply
    646.65x = 892.01 × 422.27
  4. Step 4: Simplify right side
    646.65x = 376,662.49
  5. Step 5: Solve for x
    x = 376,662.49/646.65
  6. Step 6: Final answer
    x = 582.49

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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.