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Finding the Fourth Proportional to 609, 840.34 and 347

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Solution

The fourth proportional to 609, 840.34 and 347 is: 478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    609 : 840.34 = 347 : x
  2. Step 2: Convert to fraction form
    609/840.34 = 347/x
  3. Step 3: Cross multiply
    609x = 840.34 × 347
  4. Step 4: Simplify right side
    609x = 291,597.98
  5. Step 5: Solve for x
    x = 291,597.98/609
  6. Step 6: Final answer
    x = 478.81

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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.