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Finding the Fourth Proportional to 609.72, 841.37 and 361.05

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Solution

The fourth proportional to 609.72, 841.37 and 361.05 is: 498.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.72 : 841.37 = 361.05 : x
  2. Step 2: Convert to fraction form
    609.72/841.37 = 361.05/x
  3. Step 3: Cross multiply
    609.72x = 841.37 × 361.05
  4. Step 4: Simplify right side
    609.72x = 303,774.83
  5. Step 5: Solve for x
    x = 303,774.83/609.72
  6. Step 6: Final answer
    x = 498.22

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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.