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Finding the Fourth Proportional to 609.56, 913.80 and 335.24

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Solution

The fourth proportional to 609.56, 913.80 and 335.24 is: 502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.56 : 913.80 = 335.24 : x
  2. Step 2: Convert to fraction form
    609.56/913.80 = 335.24/x
  3. Step 3: Cross multiply
    609.56x = 913.80 × 335.24
  4. Step 4: Simplify right side
    609.56x = 306,342.31
  5. Step 5: Solve for x
    x = 306,342.31/609.56
  6. Step 6: Final answer
    x = 502.56

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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.