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Finding the Fourth Proportional to 629.52, 944.36 and 264.22

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Solution

The fourth proportional to 629.52, 944.36 and 264.22 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 944.36 = 264.22 : x
  2. Step 2: Convert to fraction form
    629.52/944.36 = 264.22/x
  3. Step 3: Cross multiply
    629.52x = 944.36 × 264.22
  4. Step 4: Simplify right side
    629.52x = 249,519.46
  5. Step 5: Solve for x
    x = 249,519.46/629.52
  6. Step 6: Final answer
    x = 396.36

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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.