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Finding the Fourth Proportional to 646.59, 892.32 and 366.82

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Solution

The fourth proportional to 646.59, 892.32 and 366.82 is: 506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.59 : 892.32 = 366.82 : x
  2. Step 2: Convert to fraction form
    646.59/892.32 = 366.82/x
  3. Step 3: Cross multiply
    646.59x = 892.32 × 366.82
  4. Step 4: Simplify right side
    646.59x = 327,320.82
  5. Step 5: Solve for x
    x = 327,320.82/646.59
  6. Step 6: Final answer
    x = 506.23

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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.