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Finding the Fourth Proportional to 468.67, 646.64 and 363.57

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Solution

The fourth proportional to 468.67, 646.64 and 363.57 is: 501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.67 : 646.64 = 363.57 : x
  2. Step 2: Convert to fraction form
    468.67/646.64 = 363.57/x
  3. Step 3: Cross multiply
    468.67x = 646.64 × 363.57
  4. Step 4: Simplify right side
    468.67x = 235,098.20
  5. Step 5: Solve for x
    x = 235,098.20/468.67
  6. Step 6: Final answer
    x = 501.63

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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.