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Finding the Fourth Proportional to 463.32, 694.98 and 219.92

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Solution

The fourth proportional to 463.32, 694.98 and 219.92 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 694.98 = 219.92 : x
  2. Step 2: Convert to fraction form
    463.32/694.98 = 219.92/x
  3. Step 3: Cross multiply
    463.32x = 694.98 × 219.92
  4. Step 4: Simplify right side
    463.32x = 152,836.53
  5. Step 5: Solve for x
    x = 152,836.53/463.32
  6. Step 6: Final answer
    x = 329.87

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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.