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Finding the Fourth Proportional to 738.87, 1,108.19 and 225.75

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Solution

The fourth proportional to 738.87, 1,108.19 and 225.75 is: 338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.87 : 1,108.19 = 225.75 : x
  2. Step 2: Convert to fraction form
    738.87/1,108.19 = 225.75/x
  3. Step 3: Cross multiply
    738.87x = 1,108.19 × 225.75
  4. Step 4: Simplify right side
    738.87x = 250,172.76
  5. Step 5: Solve for x
    x = 250,172.76/738.87
  6. Step 6: Final answer
    x = 338.59

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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.