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Finding the Fourth Proportional to 463.33, 694.38 and 257.79

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Solution

The fourth proportional to 463.33, 694.38 and 257.79 is: 386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.33 : 694.38 = 257.79 : x
  2. Step 2: Convert to fraction form
    463.33/694.38 = 257.79/x
  3. Step 3: Cross multiply
    463.33x = 694.38 × 257.79
  4. Step 4: Simplify right side
    463.33x = 179,004.22
  5. Step 5: Solve for x
    x = 179,004.22/463.33
  6. Step 6: Final answer
    x = 386.34

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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.