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Finding the Fourth Proportional to 609.06, 839.62 and 434.10

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Solution

The fourth proportional to 609.06, 839.62 and 434.10 is: 598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.06 : 839.62 = 434.10 : x
  2. Step 2: Convert to fraction form
    609.06/839.62 = 434.10/x
  3. Step 3: Cross multiply
    609.06x = 839.62 × 434.10
  4. Step 4: Simplify right side
    609.06x = 364,474.84
  5. Step 5: Solve for x
    x = 364,474.84/609.06
  6. Step 6: Final answer
    x = 598.43

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