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Finding the Fourth Proportional to 609.54, 840.96 and 347.37

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Solution

The fourth proportional to 609.54, 840.96 and 347.37 is: 479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.54 : 840.96 = 347.37 : x
  2. Step 2: Convert to fraction form
    609.54/840.96 = 347.37/x
  3. Step 3: Cross multiply
    609.54x = 840.96 × 347.37
  4. Step 4: Simplify right side
    609.54x = 292,124.28
  5. Step 5: Solve for x
    x = 292,124.28/609.54
  6. Step 6: Final answer
    x = 479.25

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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.