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Finding the Fourth Proportional to 363.32, 500.76 and 262.46

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Solution

The fourth proportional to 363.32, 500.76 and 262.46 is: 361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.32 : 500.76 = 262.46 : x
  2. Step 2: Convert to fraction form
    363.32/500.76 = 262.46/x
  3. Step 3: Cross multiply
    363.32x = 500.76 × 262.46
  4. Step 4: Simplify right side
    363.32x = 131,429.47
  5. Step 5: Solve for x
    x = 131,429.47/363.32
  6. Step 6: Final answer
    x = 361.75

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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.