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Finding the Fourth Proportional to 629.26, 943.73 and 282.40

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Solution

The fourth proportional to 629.26, 943.73 and 282.40 is: 423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.26 : 943.73 = 282.40 : x
  2. Step 2: Convert to fraction form
    629.26/943.73 = 282.40/x
  3. Step 3: Cross multiply
    629.26x = 943.73 × 282.40
  4. Step 4: Simplify right side
    629.26x = 266,503.22
  5. Step 5: Solve for x
    x = 266,503.22/629.26
  6. Step 6: Final answer
    x = 423.52

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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.