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Finding the Fourth Proportional to 463.50, 694.71 and 257.97

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Solution

The fourth proportional to 463.50, 694.71 and 257.97 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 694.71 = 257.97 : x
  2. Step 2: Convert to fraction form
    463.50/694.71 = 257.97/x
  3. Step 3: Cross multiply
    463.50x = 694.71 × 257.97
  4. Step 4: Simplify right side
    463.50x = 179,214.34
  5. Step 5: Solve for x
    x = 179,214.34/463.50
  6. Step 6: Final answer
    x = 386.65

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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.