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Finding the Fourth Proportional to 609.29, 840.62 and 347.12

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Solution

The fourth proportional to 609.29, 840.62 and 347.12 is: 478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.29 : 840.62 = 347.12 : x
  2. Step 2: Convert to fraction form
    609.29/840.62 = 347.12/x
  3. Step 3: Cross multiply
    609.29x = 840.62 × 347.12
  4. Step 4: Simplify right side
    609.29x = 291,794.28
  5. Step 5: Solve for x
    x = 291,794.28/609.29
  6. Step 6: Final answer
    x = 478.91

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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.