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Finding the Fourth Proportional to 609.23, 840.82 and 461.61

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Solution

The fourth proportional to 609.23, 840.82 and 461.61 is: 637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.23 : 840.82 = 461.61 : x
  2. Step 2: Convert to fraction form
    609.23/840.82 = 461.61/x
  3. Step 3: Cross multiply
    609.23x = 840.82 × 461.61
  4. Step 4: Simplify right side
    609.23x = 388,130.92
  5. Step 5: Solve for x
    x = 388,130.92/609.23
  6. Step 6: Final answer
    x = 637.08

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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.