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Finding the Fourth Proportional to 600.54, 900.49 and 189.57

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Solution

The fourth proportional to 600.54, 900.49 and 189.57 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.54 : 900.49 = 189.57 : x
  2. Step 2: Convert to fraction form
    600.54/900.49 = 189.57/x
  3. Step 3: Cross multiply
    600.54x = 900.49 × 189.57
  4. Step 4: Simplify right side
    600.54x = 170,704.94
  5. Step 5: Solve for x
    x = 170,704.94/600.54
  6. Step 6: Final answer
    x = 284.25

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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.