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Finding the Fourth Proportional to 629.73, 869.27 and 367.83

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Solution

The fourth proportional to 629.73, 869.27 and 367.83 is: 507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.73 : 869.27 = 367.83 : x
  2. Step 2: Convert to fraction form
    629.73/869.27 = 367.83/x
  3. Step 3: Cross multiply
    629.73x = 869.27 × 367.83
  4. Step 4: Simplify right side
    629.73x = 319,741.74
  5. Step 5: Solve for x
    x = 319,741.74/629.73
  6. Step 6: Final answer
    x = 507.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.