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Finding the Fourth Proportional to 579.68, 869.62 and 254.88

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Solution

The fourth proportional to 579.68, 869.62 and 254.88 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.68 : 869.62 = 254.88 : x
  2. Step 2: Convert to fraction form
    579.68/869.62 = 254.88/x
  3. Step 3: Cross multiply
    579.68x = 869.62 × 254.88
  4. Step 4: Simplify right side
    579.68x = 221,648.75
  5. Step 5: Solve for x
    x = 221,648.75/579.68
  6. Step 6: Final answer
    x = 382.36

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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.