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Finding the Fourth Proportional to 365.49, 500.04 and 363.96

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Solution

The fourth proportional to 365.49, 500.04 and 363.96 is: 497.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.49 : 500.04 = 363.96 : x
  2. Step 2: Convert to fraction form
    365.49/500.04 = 363.96/x
  3. Step 3: Cross multiply
    365.49x = 500.04 × 363.96
  4. Step 4: Simplify right side
    365.49x = 181,994.56
  5. Step 5: Solve for x
    x = 181,994.56/365.49
  6. Step 6: Final answer
    x = 497.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.