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Finding the Fourth Proportional to 462.86, 694.41 and 380.73

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Solution

The fourth proportional to 462.86, 694.41 and 380.73 is: 571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.86 : 694.41 = 380.73 : x
  2. Step 2: Convert to fraction form
    462.86/694.41 = 380.73/x
  3. Step 3: Cross multiply
    462.86x = 694.41 × 380.73
  4. Step 4: Simplify right side
    462.86x = 264,382.72
  5. Step 5: Solve for x
    x = 264,382.72/462.86
  6. Step 6: Final answer
    x = 571.19

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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.