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Finding the Fourth Proportional to 367.12, 546.71 and 351.33

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Solution

The fourth proportional to 367.12, 546.71 and 351.33 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.12 : 546.71 = 351.33 : x
  2. Step 2: Convert to fraction form
    367.12/546.71 = 351.33/x
  3. Step 3: Cross multiply
    367.12x = 546.71 × 351.33
  4. Step 4: Simplify right side
    367.12x = 192,075.62
  5. Step 5: Solve for x
    x = 192,075.62/367.12
  6. Step 6: Final answer
    x = 523.20

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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.