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Finding the Fourth Proportional to 422.92, 629.57 and 403.04

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Solution

The fourth proportional to 422.92, 629.57 and 403.04 is: 599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 629.57 = 403.04 : x
  2. Step 2: Convert to fraction form
    422.92/629.57 = 403.04/x
  3. Step 3: Cross multiply
    422.92x = 629.57 × 403.04
  4. Step 4: Simplify right side
    422.92x = 253,741.89
  5. Step 5: Solve for x
    x = 253,741.89/422.92
  6. Step 6: Final answer
    x = 599.98

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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.