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Finding the Fourth Proportional to 361.35, 541.22 and 216.77

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Solution

The fourth proportional to 361.35, 541.22 and 216.77 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.35 : 541.22 = 216.77 : x
  2. Step 2: Convert to fraction form
    361.35/541.22 = 216.77/x
  3. Step 3: Cross multiply
    361.35x = 541.22 × 216.77
  4. Step 4: Simplify right side
    361.35x = 117,316.47
  5. Step 5: Solve for x
    x = 117,316.47/361.35
  6. Step 6: Final answer
    x = 324.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.