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Finding the Fourth Proportional to 463.25, 694.98 and 185.63

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Solution

The fourth proportional to 463.25, 694.98 and 185.63 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 694.98 = 185.63 : x
  2. Step 2: Convert to fraction form
    463.25/694.98 = 185.63/x
  3. Step 3: Cross multiply
    463.25x = 694.98 × 185.63
  4. Step 4: Simplify right side
    463.25x = 129,005.66
  5. Step 5: Solve for x
    x = 129,005.66/463.25
  6. Step 6: Final answer
    x = 278.48

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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.