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Finding the Fourth Proportional to 363.86, 501.23 and 345.33

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Solution

The fourth proportional to 363.86, 501.23 and 345.33 is: 475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 501.23 = 345.33 : x
  2. Step 2: Convert to fraction form
    363.86/501.23 = 345.33/x
  3. Step 3: Cross multiply
    363.86x = 501.23 × 345.33
  4. Step 4: Simplify right side
    363.86x = 173,088.03
  5. Step 5: Solve for x
    x = 173,088.03/363.86
  6. Step 6: Final answer
    x = 475.71

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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.