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Finding the Fourth Proportional to 609.52, 913.08 and 284.56

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Solution

The fourth proportional to 609.52, 913.08 and 284.56 is: 426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.52 : 913.08 = 284.56 : x
  2. Step 2: Convert to fraction form
    609.52/913.08 = 284.56/x
  3. Step 3: Cross multiply
    609.52x = 913.08 × 284.56
  4. Step 4: Simplify right side
    609.52x = 259,826.04
  5. Step 5: Solve for x
    x = 259,826.04/609.52
  6. Step 6: Final answer
    x = 426.28

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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.