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Finding the Fourth Proportional to 463.37, 694.10 and 219.15

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Solution

The fourth proportional to 463.37, 694.10 and 219.15 is: 328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 694.10 = 219.15 : x
  2. Step 2: Convert to fraction form
    463.37/694.10 = 219.15/x
  3. Step 3: Cross multiply
    463.37x = 694.10 × 219.15
  4. Step 4: Simplify right side
    463.37x = 152,112.56
  5. Step 5: Solve for x
    x = 152,112.56/463.37
  6. Step 6: Final answer
    x = 328.28

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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.