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Finding the Fourth Proportional to 629.45, 943.50 and 424.06

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Solution

The fourth proportional to 629.45, 943.50 and 424.06 is: 635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.45 : 943.50 = 424.06 : x
  2. Step 2: Convert to fraction form
    629.45/943.50 = 424.06/x
  3. Step 3: Cross multiply
    629.45x = 943.50 × 424.06
  4. Step 4: Simplify right side
    629.45x = 400,099.43
  5. Step 5: Solve for x
    x = 400,099.43/629.45
  6. Step 6: Final answer
    x = 635.64

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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.