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Finding the Fourth Proportional to 463.19, 694.85 and 219.65

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Solution

The fourth proportional to 463.19, 694.85 and 219.65 is: 329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 694.85 = 219.65 : x
  2. Step 2: Convert to fraction form
    463.19/694.85 = 219.65/x
  3. Step 3: Cross multiply
    463.19x = 694.85 × 219.65
  4. Step 4: Simplify right side
    463.19x = 152,619.23
  5. Step 5: Solve for x
    x = 152,619.23/463.19
  6. Step 6: Final answer
    x = 329.50

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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.