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Finding the Fourth Proportional to 609.73, 840.71 and 423.43

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Solution

The fourth proportional to 609.73, 840.71 and 423.43 is: 583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.73 : 840.71 = 423.43 : x
  2. Step 2: Convert to fraction form
    609.73/840.71 = 423.43/x
  3. Step 3: Cross multiply
    609.73x = 840.71 × 423.43
  4. Step 4: Simplify right side
    609.73x = 355,980.79
  5. Step 5: Solve for x
    x = 355,980.79/609.73
  6. Step 6: Final answer
    x = 583.84

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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.