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Finding the Fourth Proportional to 629.24, 866.22 and 503.96

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Solution

The fourth proportional to 629.24, 866.22 and 503.96 is: 693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.24 : 866.22 = 503.96 : x
  2. Step 2: Convert to fraction form
    629.24/866.22 = 503.96/x
  3. Step 3: Cross multiply
    629.24x = 866.22 × 503.96
  4. Step 4: Simplify right side
    629.24x = 436,540.23
  5. Step 5: Solve for x
    x = 436,540.23/629.24
  6. Step 6: Final answer
    x = 693.76

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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.