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Finding the Fourth Proportional to 583.26, 878.34 and 422.07

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Solution

The fourth proportional to 583.26, 878.34 and 422.07 is: 635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.26 : 878.34 = 422.07 : x
  2. Step 2: Convert to fraction form
    583.26/878.34 = 422.07/x
  3. Step 3: Cross multiply
    583.26x = 878.34 × 422.07
  4. Step 4: Simplify right side
    583.26x = 370,720.96
  5. Step 5: Solve for x
    x = 370,720.96/583.26
  6. Step 6: Final answer
    x = 635.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.