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Finding the Fourth Proportional to 579.25, 869.06 and 254.67

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Solution

The fourth proportional to 579.25, 869.06 and 254.67 is: 382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.25 : 869.06 = 254.67 : x
  2. Step 2: Convert to fraction form
    579.25/869.06 = 254.67/x
  3. Step 3: Cross multiply
    579.25x = 869.06 × 254.67
  4. Step 4: Simplify right side
    579.25x = 221,323.51
  5. Step 5: Solve for x
    x = 221,323.51/579.25
  6. Step 6: Final answer
    x = 382.09

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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.