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Finding the Fourth Proportional to 629.66, 945.09 and 475.05

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Solution

The fourth proportional to 629.66, 945.09 and 475.05 is: 713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.66 : 945.09 = 475.05 : x
  2. Step 2: Convert to fraction form
    629.66/945.09 = 475.05/x
  3. Step 3: Cross multiply
    629.66x = 945.09 × 475.05
  4. Step 4: Simplify right side
    629.66x = 448,965.00
  5. Step 5: Solve for x
    x = 448,965.00/629.66
  6. Step 6: Final answer
    x = 713.03

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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.