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Finding the Fourth Proportional to 523.99, 722.82 and 327.43

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Solution

The fourth proportional to 523.99, 722.82 and 327.43 is: 451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.99 : 722.82 = 327.43 : x
  2. Step 2: Convert to fraction form
    523.99/722.82 = 327.43/x
  3. Step 3: Cross multiply
    523.99x = 722.82 × 327.43
  4. Step 4: Simplify right side
    523.99x = 236,672.95
  5. Step 5: Solve for x
    x = 236,672.95/523.99
  6. Step 6: Final answer
    x = 451.67

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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.