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Finding the Fourth Proportional to 609.30, 840.51 and 461.69

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Solution

The fourth proportional to 609.30, 840.51 and 461.69 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.30 : 840.51 = 461.69 : x
  2. Step 2: Convert to fraction form
    609.30/840.51 = 461.69/x
  3. Step 3: Cross multiply
    609.30x = 840.51 × 461.69
  4. Step 4: Simplify right side
    609.30x = 388,050.86
  5. Step 5: Solve for x
    x = 388,050.86/609.30
  6. Step 6: Final answer
    x = 636.88

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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.