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Finding the Fourth Proportional to 629.64, 944.26 and 264.26

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Solution

The fourth proportional to 629.64, 944.26 and 264.26 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.64 : 944.26 = 264.26 : x
  2. Step 2: Convert to fraction form
    629.64/944.26 = 264.26/x
  3. Step 3: Cross multiply
    629.64x = 944.26 × 264.26
  4. Step 4: Simplify right side
    629.64x = 249,531.85
  5. Step 5: Solve for x
    x = 249,531.85/629.64
  6. Step 6: Final answer
    x = 396.31

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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.