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Finding the Fourth Proportional to 460.96, 636.24 and 363.40

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Solution

The fourth proportional to 460.96, 636.24 and 363.40 is: 501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 636.24 = 363.40 : x
  2. Step 2: Convert to fraction form
    460.96/636.24 = 363.40/x
  3. Step 3: Cross multiply
    460.96x = 636.24 × 363.40
  4. Step 4: Simplify right side
    460.96x = 231,209.62
  5. Step 5: Solve for x
    x = 231,209.62/460.96
  6. Step 6: Final answer
    x = 501.58

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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.