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Finding the Fourth Proportional to 646.45, 892.09 and 351.71

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Solution

The fourth proportional to 646.45, 892.09 and 351.71 is: 485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.45 : 892.09 = 351.71 : x
  2. Step 2: Convert to fraction form
    646.45/892.09 = 351.71/x
  3. Step 3: Cross multiply
    646.45x = 892.09 × 351.71
  4. Step 4: Simplify right side
    646.45x = 313,756.97
  5. Step 5: Solve for x
    x = 313,756.97/646.45
  6. Step 6: Final answer
    x = 485.35

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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.