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Finding the Fourth Proportional to 467.78, 646.23 and 363.29

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Solution

The fourth proportional to 467.78, 646.23 and 363.29 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.78 : 646.23 = 363.29 : x
  2. Step 2: Convert to fraction form
    467.78/646.23 = 363.29/x
  3. Step 3: Cross multiply
    467.78x = 646.23 × 363.29
  4. Step 4: Simplify right side
    467.78x = 234,768.90
  5. Step 5: Solve for x
    x = 234,768.90/467.78
  6. Step 6: Final answer
    x = 501.88

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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.