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Finding the Fourth Proportional to 646.74, 892.34 and 366.91

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Solution

The fourth proportional to 646.74, 892.34 and 366.91 is: 506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 892.34 = 366.91 : x
  2. Step 2: Convert to fraction form
    646.74/892.34 = 366.91/x
  3. Step 3: Cross multiply
    646.74x = 892.34 × 366.91
  4. Step 4: Simplify right side
    646.74x = 327,404.92
  5. Step 5: Solve for x
    x = 327,404.92/646.74
  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.