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Finding the Fourth Proportional to 629.25, 944.48 and 263.94

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Solution

The fourth proportional to 629.25, 944.48 and 263.94 is: 396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.25 : 944.48 = 263.94 : x
  2. Step 2: Convert to fraction form
    629.25/944.48 = 263.94/x
  3. Step 3: Cross multiply
    629.25x = 944.48 × 263.94
  4. Step 4: Simplify right side
    629.25x = 249,284.73
  5. Step 5: Solve for x
    x = 249,284.73/629.25
  6. Step 6: Final answer
    x = 396.16

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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.