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Finding the Fourth Proportional to 646.48, 892.22 and 397.76

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Solution

The fourth proportional to 646.48, 892.22 and 397.76 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.48 : 892.22 = 397.76 : x
  2. Step 2: Convert to fraction form
    646.48/892.22 = 397.76/x
  3. Step 3: Cross multiply
    646.48x = 892.22 × 397.76
  4. Step 4: Simplify right side
    646.48x = 354,889.43
  5. Step 5: Solve for x
    x = 354,889.43/646.48
  6. Step 6: Final answer
    x = 548.96

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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.