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Finding the Fourth Proportional to 363.36, 500.32 and 314.24

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Solution

The fourth proportional to 363.36, 500.32 and 314.24 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.36 : 500.32 = 314.24 : x
  2. Step 2: Convert to fraction form
    363.36/500.32 = 314.24/x
  3. Step 3: Cross multiply
    363.36x = 500.32 × 314.24
  4. Step 4: Simplify right side
    363.36x = 157,220.56
  5. Step 5: Solve for x
    x = 157,220.56/363.36
  6. Step 6: Final answer
    x = 432.69

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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.