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Finding the Fourth Proportional to 463.56, 694.75 and 189.33

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Solution

The fourth proportional to 463.56, 694.75 and 189.33 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.56 : 694.75 = 189.33 : x
  2. Step 2: Convert to fraction form
    463.56/694.75 = 189.33/x
  3. Step 3: Cross multiply
    463.56x = 694.75 × 189.33
  4. Step 4: Simplify right side
    463.56x = 131,537.02
  5. Step 5: Solve for x
    x = 131,537.02/463.56
  6. Step 6: Final answer
    x = 283.75

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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.