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Finding the Fourth Proportional to 462.77, 694.83 and 189.39

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Solution

The fourth proportional to 462.77, 694.83 and 189.39 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.77 : 694.83 = 189.39 : x
  2. Step 2: Convert to fraction form
    462.77/694.83 = 189.39/x
  3. Step 3: Cross multiply
    462.77x = 694.83 × 189.39
  4. Step 4: Simplify right side
    462.77x = 131,593.85
  5. Step 5: Solve for x
    x = 131,593.85/462.77
  6. Step 6: Final answer
    x = 284.36

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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.