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Finding the Fourth Proportional to 496.82, 684.96 and 363.60

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Solution

The fourth proportional to 496.82, 684.96 and 363.60 is: 501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.82 : 684.96 = 363.60 : x
  2. Step 2: Convert to fraction form
    496.82/684.96 = 363.60/x
  3. Step 3: Cross multiply
    496.82x = 684.96 × 363.60
  4. Step 4: Simplify right side
    496.82x = 249,051.46
  5. Step 5: Solve for x
    x = 249,051.46/496.82
  6. Step 6: Final answer
    x = 501.30

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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.