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Finding the Fourth Proportional to 422.64, 629.70 and 406.93

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Solution

The fourth proportional to 422.64, 629.70 and 406.93 is: 606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 629.70 = 406.93 : x
  2. Step 2: Convert to fraction form
    422.64/629.70 = 406.93/x
  3. Step 3: Cross multiply
    422.64x = 629.70 × 406.93
  4. Step 4: Simplify right side
    422.64x = 256,243.82
  5. Step 5: Solve for x
    x = 256,243.82/422.64
  6. Step 6: Final answer
    x = 606.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.