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Finding the Fourth Proportional to 463.87, 695.79 and 189.89

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Solution

The fourth proportional to 463.87, 695.79 and 189.89 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 695.79 = 189.89 : x
  2. Step 2: Convert to fraction form
    463.87/695.79 = 189.89/x
  3. Step 3: Cross multiply
    463.87x = 695.79 × 189.89
  4. Step 4: Simplify right side
    463.87x = 132,123.56
  5. Step 5: Solve for x
    x = 132,123.56/463.87
  6. Step 6: Final answer
    x = 284.83

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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.