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Finding the Fourth Proportional to 463.51, 694.76 and 189.43

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Solution

The fourth proportional to 463.51, 694.76 and 189.43 is: 283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.51 : 694.76 = 189.43 : x
  2. Step 2: Convert to fraction form
    463.51/694.76 = 189.43/x
  3. Step 3: Cross multiply
    463.51x = 694.76 × 189.43
  4. Step 4: Simplify right side
    463.51x = 131,608.39
  5. Step 5: Solve for x
    x = 131,608.39/463.51
  6. Step 6: Final answer
    x = 283.94

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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.