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Finding the Fourth Proportional to 629.70, 869.19 and 367.77

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Solution

The fourth proportional to 629.70, 869.19 and 367.77 is: 507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.70 : 869.19 = 367.77 : x
  2. Step 2: Convert to fraction form
    629.70/869.19 = 367.77/x
  3. Step 3: Cross multiply
    629.70x = 869.19 × 367.77
  4. Step 4: Simplify right side
    629.70x = 319,662.01
  5. Step 5: Solve for x
    x = 319,662.01/629.70
  6. Step 6: Final answer
    x = 507.64

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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.