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Finding the Fourth Proportional to 646.29, 892.22 and 506.10

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Solution

The fourth proportional to 646.29, 892.22 and 506.10 is: 698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 892.22 = 506.10 : x
  2. Step 2: Convert to fraction form
    646.29/892.22 = 506.10/x
  3. Step 3: Cross multiply
    646.29x = 892.22 × 506.10
  4. Step 4: Simplify right side
    646.29x = 451,550.01
  5. Step 5: Solve for x
    x = 451,550.01/646.29
  6. Step 6: Final answer
    x = 698.68

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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.