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Finding the Fourth Proportional to 609.96, 841.74 and 347.97

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Solution

The fourth proportional to 609.96, 841.74 and 347.97 is: 480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.96 : 841.74 = 347.97 : x
  2. Step 2: Convert to fraction form
    609.96/841.74 = 347.97/x
  3. Step 3: Cross multiply
    609.96x = 841.74 × 347.97
  4. Step 4: Simplify right side
    609.96x = 292,900.27
  5. Step 5: Solve for x
    x = 292,900.27/609.96
  6. Step 6: Final answer
    x = 480.20

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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.