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Finding the Fourth Proportional to 422.41, 628.60 and 406.01

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Solution

The fourth proportional to 422.41, 628.60 and 406.01 is: 604.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.41 : 628.60 = 406.01 : x
  2. Step 2: Convert to fraction form
    422.41/628.60 = 406.01/x
  3. Step 3: Cross multiply
    422.41x = 628.60 × 406.01
  4. Step 4: Simplify right side
    422.41x = 255,212.71
  5. Step 5: Solve for x
    x = 255,212.71/422.41
  6. Step 6: Final answer
    x = 604.18

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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.