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Finding the Fourth Proportional to 629.36, 943.68 and 264

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Solution

The fourth proportional to 629.36, 943.68 and 264 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.36 : 943.68 = 264 : x
  2. Step 2: Convert to fraction form
    629.36/943.68 = 264/x
  3. Step 3: Cross multiply
    629.36x = 943.68 × 264
  4. Step 4: Simplify right side
    629.36x = 249,131.52
  5. Step 5: Solve for x
    x = 249,131.52/629.36
  6. Step 6: Final answer
    x = 395.85

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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.