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Finding the Fourth Proportional to 629.90, 943.62 and 412.82

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Solution

The fourth proportional to 629.90, 943.62 and 412.82 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.90 : 943.62 = 412.82 : x
  2. Step 2: Convert to fraction form
    629.90/943.62 = 412.82/x
  3. Step 3: Cross multiply
    629.90x = 943.62 × 412.82
  4. Step 4: Simplify right side
    629.90x = 389,545.21
  5. Step 5: Solve for x
    x = 389,545.21/629.90
  6. Step 6: Final answer
    x = 618.42

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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.