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Finding the Fourth Proportional to 629.82, 869.13 and 367.83

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Solution

The fourth proportional to 629.82, 869.13 and 367.83 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.82 : 869.13 = 367.83 : x
  2. Step 2: Convert to fraction form
    629.82/869.13 = 367.83/x
  3. Step 3: Cross multiply
    629.82x = 869.13 × 367.83
  4. Step 4: Simplify right side
    629.82x = 319,692.09
  5. Step 5: Solve for x
    x = 319,692.09/629.82
  6. Step 6: Final answer
    x = 507.59

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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.