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Finding the Fourth Proportional to 629.77, 944.47 and 218.80

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Solution

The fourth proportional to 629.77, 944.47 and 218.80 is: 328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.77 : 944.47 = 218.80 : x
  2. Step 2: Convert to fraction form
    629.77/944.47 = 218.80/x
  3. Step 3: Cross multiply
    629.77x = 944.47 × 218.80
  4. Step 4: Simplify right side
    629.77x = 206,650.04
  5. Step 5: Solve for x
    x = 206,650.04/629.77
  6. Step 6: Final answer
    x = 328.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.