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Finding the Fourth Proportional to 422.77, 634.37 and 320.02

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Solution

The fourth proportional to 422.77, 634.37 and 320.02 is: 480.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.77 : 634.37 = 320.02 : x
  2. Step 2: Convert to fraction form
    422.77/634.37 = 320.02/x
  3. Step 3: Cross multiply
    422.77x = 634.37 × 320.02
  4. Step 4: Simplify right side
    422.77x = 203,006.32
  5. Step 5: Solve for x
    x = 203,006.32/422.77
  6. Step 6: Final answer
    x = 480.19

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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.