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Finding the Fourth Proportional to 609.98, 841.62 and 361.20

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Solution

The fourth proportional to 609.98, 841.62 and 361.20 is: 498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.98 : 841.62 = 361.20 : x
  2. Step 2: Convert to fraction form
    609.98/841.62 = 361.20/x
  3. Step 3: Cross multiply
    609.98x = 841.62 × 361.20
  4. Step 4: Simplify right side
    609.98x = 303,993.14
  5. Step 5: Solve for x
    x = 303,993.14/609.98
  6. Step 6: Final answer
    x = 498.37

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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.