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Finding the Fourth Proportional to 629.99, 944.29 and 475.42

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Solution

The fourth proportional to 629.99, 944.29 and 475.42 is: 712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.99 : 944.29 = 475.42 : x
  2. Step 2: Convert to fraction form
    629.99/944.29 = 475.42/x
  3. Step 3: Cross multiply
    629.99x = 944.29 × 475.42
  4. Step 4: Simplify right side
    629.99x = 448,934.36
  5. Step 5: Solve for x
    x = 448,934.36/629.99
  6. Step 6: Final answer
    x = 712.60

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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.