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Finding the Fourth Proportional to 361.45, 541.65 and 215.23

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Solution

The fourth proportional to 361.45, 541.65 and 215.23 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.45 : 541.65 = 215.23 : x
  2. Step 2: Convert to fraction form
    361.45/541.65 = 215.23/x
  3. Step 3: Cross multiply
    361.45x = 541.65 × 215.23
  4. Step 4: Simplify right side
    361.45x = 116,579.33
  5. Step 5: Solve for x
    x = 116,579.33/361.45
  6. Step 6: Final answer
    x = 322.53

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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.