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Finding the Fourth Proportional to 629.80, 944.35 and 218.90

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Solution

The fourth proportional to 629.80, 944.35 and 218.90 is: 328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.80 : 944.35 = 218.90 : x
  2. Step 2: Convert to fraction form
    629.80/944.35 = 218.90/x
  3. Step 3: Cross multiply
    629.80x = 944.35 × 218.90
  4. Step 4: Simplify right side
    629.80x = 206,718.22
  5. Step 5: Solve for x
    x = 206,718.22/629.80
  6. Step 6: Final answer
    x = 328.23

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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.