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Finding the Fourth Proportional to 646.47, 892.17 and 366.71

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Solution

The fourth proportional to 646.47, 892.17 and 366.71 is: 506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.47 : 892.17 = 366.71 : x
  2. Step 2: Convert to fraction form
    646.47/892.17 = 366.71/x
  3. Step 3: Cross multiply
    646.47x = 892.17 × 366.71
  4. Step 4: Simplify right side
    646.47x = 327,161.37
  5. Step 5: Solve for x
    x = 327,161.37/646.47
  6. Step 6: Final answer
    x = 506.08

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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.