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Finding the Fourth Proportional to 646.93, 892.77 and 367.16

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Solution

The fourth proportional to 646.93, 892.77 and 367.16 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.93 : 892.77 = 367.16 : x
  2. Step 2: Convert to fraction form
    646.93/892.77 = 367.16/x
  3. Step 3: Cross multiply
    646.93x = 892.77 × 367.16
  4. Step 4: Simplify right side
    646.93x = 327,783.13
  5. Step 5: Solve for x
    x = 327,783.13/646.93
  6. Step 6: Final answer
    x = 506.68

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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.