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Finding the Fourth Proportional to 361.74, 543.21 and 301.33

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Solution

The fourth proportional to 361.74, 543.21 and 301.33 is: 452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.74 : 543.21 = 301.33 : x
  2. Step 2: Convert to fraction form
    361.74/543.21 = 301.33/x
  3. Step 3: Cross multiply
    361.74x = 543.21 × 301.33
  4. Step 4: Simplify right side
    361.74x = 163,685.47
  5. Step 5: Solve for x
    x = 163,685.47/361.74
  6. Step 6: Final answer
    x = 452.49

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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.