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Finding the Fourth Proportional to 609.05, 914.04 and 335.13

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Solution

The fourth proportional to 609.05, 914.04 and 335.13 is: 502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.05 : 914.04 = 335.13 : x
  2. Step 2: Convert to fraction form
    609.05/914.04 = 335.13/x
  3. Step 3: Cross multiply
    609.05x = 914.04 × 335.13
  4. Step 4: Simplify right side
    609.05x = 306,322.23
  5. Step 5: Solve for x
    x = 306,322.23/609.05
  6. Step 6: Final answer
    x = 502.95

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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.