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Finding the Fourth Proportional to 579.47, 869.22 and 254.84

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Solution

The fourth proportional to 579.47, 869.22 and 254.84 is: 382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.47 : 869.22 = 254.84 : x
  2. Step 2: Convert to fraction form
    579.47/869.22 = 254.84/x
  3. Step 3: Cross multiply
    579.47x = 869.22 × 254.84
  4. Step 4: Simplify right side
    579.47x = 221,512.02
  5. Step 5: Solve for x
    x = 221,512.02/579.47
  6. Step 6: Final answer
    x = 382.27

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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.