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Finding the Fourth Proportional to 583.36, 874.82 and 254.25

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Solution

The fourth proportional to 583.36, 874.82 and 254.25 is: 381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.36 : 874.82 = 254.25 : x
  2. Step 2: Convert to fraction form
    583.36/874.82 = 254.25/x
  3. Step 3: Cross multiply
    583.36x = 874.82 × 254.25
  4. Step 4: Simplify right side
    583.36x = 222,422.99
  5. Step 5: Solve for x
    x = 222,422.99/583.36
  6. Step 6: Final answer
    x = 381.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.