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Finding the Fourth Proportional to 646.59, 892.28 and 366.85

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Solution

The fourth proportional to 646.59, 892.28 and 366.85 is: 506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.59 : 892.28 = 366.85 : x
  2. Step 2: Convert to fraction form
    646.59/892.28 = 366.85/x
  3. Step 3: Cross multiply
    646.59x = 892.28 × 366.85
  4. Step 4: Simplify right side
    646.59x = 327,331.08
  5. Step 5: Solve for x
    x = 327,331.08/646.59
  6. Step 6: Final answer
    x = 506.24

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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.