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Finding the Fourth Proportional to 422.88, 580 and 415.84

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Solution

The fourth proportional to 422.88, 580 and 415.84 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 580 = 415.84 : x
  2. Step 2: Convert to fraction form
    422.88/580 = 415.84/x
  3. Step 3: Cross multiply
    422.88x = 580 × 415.84
  4. Step 4: Simplify right side
    422.88x = 241,187.20
  5. Step 5: Solve for x
    x = 241,187.20/422.88
  6. Step 6: Final answer
    x = 570.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.