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Finding the Fourth Proportional to 391.72, 537.41 and 382.12

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Solution

The fourth proportional to 391.72, 537.41 and 382.12 is: 524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.72 : 537.41 = 382.12 : x
  2. Step 2: Convert to fraction form
    391.72/537.41 = 382.12/x
  3. Step 3: Cross multiply
    391.72x = 537.41 × 382.12
  4. Step 4: Simplify right side
    391.72x = 205,355.11
  5. Step 5: Solve for x
    x = 205,355.11/391.72
  6. Step 6: Final answer
    x = 524.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.