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Finding the Fourth Proportional to 463.64, 694.92 and 257.85

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Solution

The fourth proportional to 463.64, 694.92 and 257.85 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.64 : 694.92 = 257.85 : x
  2. Step 2: Convert to fraction form
    463.64/694.92 = 257.85/x
  3. Step 3: Cross multiply
    463.64x = 694.92 × 257.85
  4. Step 4: Simplify right side
    463.64x = 179,185.12
  5. Step 5: Solve for x
    x = 179,185.12/463.64
  6. Step 6: Final answer
    x = 386.47

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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.