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Finding the Fourth Proportional to 422.64, 630.17 and 406.59

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Solution

The fourth proportional to 422.64, 630.17 and 406.59 is: 606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 630.17 = 406.59 : x
  2. Step 2: Convert to fraction form
    422.64/630.17 = 406.59/x
  3. Step 3: Cross multiply
    422.64x = 630.17 × 406.59
  4. Step 4: Simplify right side
    422.64x = 256,220.82
  5. Step 5: Solve for x
    x = 256,220.82/422.64
  6. Step 6: Final answer
    x = 606.24

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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.