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Finding the Fourth Proportional to 463.84, 694.33 and 398.23

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Solution

The fourth proportional to 463.84, 694.33 and 398.23 is: 596.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.84 : 694.33 = 398.23 : x
  2. Step 2: Convert to fraction form
    463.84/694.33 = 398.23/x
  3. Step 3: Cross multiply
    463.84x = 694.33 × 398.23
  4. Step 4: Simplify right side
    463.84x = 276,503.04
  5. Step 5: Solve for x
    x = 276,503.04/463.84
  6. Step 6: Final answer
    x = 596.12

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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.