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Finding the Fourth Proportional to 609.30, 839.88 and 461.34

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Solution

The fourth proportional to 609.30, 839.88 and 461.34 is: 635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.30 : 839.88 = 461.34 : x
  2. Step 2: Convert to fraction form
    609.30/839.88 = 461.34/x
  3. Step 3: Cross multiply
    609.30x = 839.88 × 461.34
  4. Step 4: Simplify right side
    609.30x = 387,470.24
  5. Step 5: Solve for x
    x = 387,470.24/609.30
  6. Step 6: Final answer
    x = 635.93

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1.5x scale

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.