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Finding the Fourth Proportional to 629.67, 944.75 and 264.44

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Solution

The fourth proportional to 629.67, 944.75 and 264.44 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.67 : 944.75 = 264.44 : x
  2. Step 2: Convert to fraction form
    629.67/944.75 = 264.44/x
  3. Step 3: Cross multiply
    629.67x = 944.75 × 264.44
  4. Step 4: Simplify right side
    629.67x = 249,823.64
  5. Step 5: Solve for x
    x = 249,823.64/629.67
  6. Step 6: Final answer
    x = 396.75

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Why These Related Problems?

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