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Finding the Fourth Proportional to 468.78, 646.92 and 371.22

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Solution

The fourth proportional to 468.78, 646.92 and 371.22 is: 512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.78 : 646.92 = 371.22 : x
  2. Step 2: Convert to fraction form
    468.78/646.92 = 371.22/x
  3. Step 3: Cross multiply
    468.78x = 646.92 × 371.22
  4. Step 4: Simplify right side
    468.78x = 240,149.64
  5. Step 5: Solve for x
    x = 240,149.64/468.78
  6. Step 6: Final answer
    x = 512.29

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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.