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Finding the Fourth Proportional to 363.62, 500.79 and 314.48

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Solution

The fourth proportional to 363.62, 500.79 and 314.48 is: 433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.62 : 500.79 = 314.48 : x
  2. Step 2: Convert to fraction form
    363.62/500.79 = 314.48/x
  3. Step 3: Cross multiply
    363.62x = 500.79 × 314.48
  4. Step 4: Simplify right side
    363.62x = 157,488.44
  5. Step 5: Solve for x
    x = 157,488.44/363.62
  6. Step 6: Final answer
    x = 433.11

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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.