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Finding the Fourth Proportional to 422.88, 582.12 and 345.12

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Solution

The fourth proportional to 422.88, 582.12 and 345.12 is: 475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 582.12 = 345.12 : x
  2. Step 2: Convert to fraction form
    422.88/582.12 = 345.12/x
  3. Step 3: Cross multiply
    422.88x = 582.12 × 345.12
  4. Step 4: Simplify right side
    422.88x = 200,901.25
  5. Step 5: Solve for x
    x = 200,901.25/422.88
  6. Step 6: Final answer
    x = 475.08

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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.