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Finding the Fourth Proportional to 363.77, 541.60 and 361.94

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Solution

The fourth proportional to 363.77, 541.60 and 361.94 is: 538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.77 : 541.60 = 361.94 : x
  2. Step 2: Convert to fraction form
    363.77/541.60 = 361.94/x
  3. Step 3: Cross multiply
    363.77x = 541.60 × 361.94
  4. Step 4: Simplify right side
    363.77x = 196,026.70
  5. Step 5: Solve for x
    x = 196,026.70/363.77
  6. Step 6: Final answer
    x = 538.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.