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Finding the Fourth Proportional to 646.26, 892.02 and 397.55

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Solution

The fourth proportional to 646.26, 892.02 and 397.55 is: 548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.26 : 892.02 = 397.55 : x
  2. Step 2: Convert to fraction form
    646.26/892.02 = 397.55/x
  3. Step 3: Cross multiply
    646.26x = 892.02 × 397.55
  4. Step 4: Simplify right side
    646.26x = 354,618.09
  5. Step 5: Solve for x
    x = 354,618.09/646.26
  6. Step 6: Final answer
    x = 548.72

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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.