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Finding the Fourth Proportional to 609.96, 841.69 and 344.37

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Solution

The fourth proportional to 609.96, 841.69 and 344.37 is: 475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.96 : 841.69 = 344.37 : x
  2. Step 2: Convert to fraction form
    609.96/841.69 = 344.37/x
  3. Step 3: Cross multiply
    609.96x = 841.69 × 344.37
  4. Step 4: Simplify right side
    609.96x = 289,852.79
  5. Step 5: Solve for x
    x = 289,852.79/609.96
  6. Step 6: Final answer
    x = 475.20

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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.