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Finding the Fourth Proportional to 609.56, 912.78 and 335.35

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Solution

The fourth proportional to 609.56, 912.78 and 335.35 is: 502.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.56 : 912.78 = 335.35 : x
  2. Step 2: Convert to fraction form
    609.56/912.78 = 335.35/x
  3. Step 3: Cross multiply
    609.56x = 912.78 × 335.35
  4. Step 4: Simplify right side
    609.56x = 306,103.17
  5. Step 5: Solve for x
    x = 306,103.17/609.56
  6. Step 6: Final answer
    x = 502.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.