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Finding the Fourth Proportional to 361.21, 541 and 353.11

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Solution

The fourth proportional to 361.21, 541 and 353.11 is: 528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.21 : 541 = 353.11 : x
  2. Step 2: Convert to fraction form
    361.21/541 = 353.11/x
  3. Step 3: Cross multiply
    361.21x = 541 × 353.11
  4. Step 4: Simplify right side
    361.21x = 191,032.51
  5. Step 5: Solve for x
    x = 191,032.51/361.21
  6. Step 6: Final answer
    x = 528.87

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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.