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Finding the Fourth Proportional to 609.17, 840.65 and 329.40

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Solution

The fourth proportional to 609.17, 840.65 and 329.40 is: 454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.17 : 840.65 = 329.40 : x
  2. Step 2: Convert to fraction form
    609.17/840.65 = 329.40/x
  3. Step 3: Cross multiply
    609.17x = 840.65 × 329.40
  4. Step 4: Simplify right side
    609.17x = 276,914.09
  5. Step 5: Solve for x
    x = 276,914.09/609.17
  6. Step 6: Final answer
    x = 454.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.