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Finding the Fourth Proportional to 609.23, 840.66 and 340.05

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Solution

The fourth proportional to 609.23, 840.66 and 340.05 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.23 : 840.66 = 340.05 : x
  2. Step 2: Convert to fraction form
    609.23/840.66 = 340.05/x
  3. Step 3: Cross multiply
    609.23x = 840.66 × 340.05
  4. Step 4: Simplify right side
    609.23x = 285,866.43
  5. Step 5: Solve for x
    x = 285,866.43/609.23
  6. Step 6: Final answer
    x = 469.23

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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.