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Finding the Fourth Proportional to 609.53, 912.74 and 335.32

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Solution

The fourth proportional to 609.53, 912.74 and 335.32 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.53 : 912.74 = 335.32 : x
  2. Step 2: Convert to fraction form
    609.53/912.74 = 335.32/x
  3. Step 3: Cross multiply
    609.53x = 912.74 × 335.32
  4. Step 4: Simplify right side
    609.53x = 306,058.36
  5. Step 5: Solve for x
    x = 306,058.36/609.53
  6. Step 6: Final answer
    x = 502.12

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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.