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Finding the Fourth Proportional to 422.70, 583.56 and 291.89

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Solution

The fourth proportional to 422.70, 583.56 and 291.89 is: 402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.70 : 583.56 = 291.89 : x
  2. Step 2: Convert to fraction form
    422.70/583.56 = 291.89/x
  3. Step 3: Cross multiply
    422.70x = 583.56 × 291.89
  4. Step 4: Simplify right side
    422.70x = 170,335.33
  5. Step 5: Solve for x
    x = 170,335.33/422.70
  6. Step 6: Final answer
    x = 402.97

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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.