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Finding the Fourth Proportional to 629.89, 944.70 and 264.58

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Solution

The fourth proportional to 629.89, 944.70 and 264.58 is: 396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.89 : 944.70 = 264.58 : x
  2. Step 2: Convert to fraction form
    629.89/944.70 = 264.58/x
  3. Step 3: Cross multiply
    629.89x = 944.70 × 264.58
  4. Step 4: Simplify right side
    629.89x = 249,948.73
  5. Step 5: Solve for x
    x = 249,948.73/629.89
  6. Step 6: Final answer
    x = 396.81

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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.