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Finding the Fourth Proportional to 422, 581.96 and 388.90

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Solution

The fourth proportional to 422, 581.96 and 388.90 is: 536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 581.96 = 388.90 : x
  2. Step 2: Convert to fraction form
    422/581.96 = 388.90/x
  3. Step 3: Cross multiply
    422x = 581.96 × 388.90
  4. Step 4: Simplify right side
    422x = 226,324.24
  5. Step 5: Solve for x
    x = 226,324.24/422
  6. Step 6: Final answer
    x = 536.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.