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Finding the Fourth Proportional to 609.11, 840.97 and 468.98

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Solution

The fourth proportional to 609.11, 840.97 and 468.98 is: 647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.11 : 840.97 = 468.98 : x
  2. Step 2: Convert to fraction form
    609.11/840.97 = 468.98/x
  3. Step 3: Cross multiply
    609.11x = 840.97 × 468.98
  4. Step 4: Simplify right side
    609.11x = 394,391.56
  5. Step 5: Solve for x
    x = 394,391.56/609.11
  6. Step 6: Final answer
    x = 647.49

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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.