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Finding the Fourth Proportional to 463.48, 694.84 and 333.38

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Solution

The fourth proportional to 463.48, 694.84 and 333.38 is: 499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.48 : 694.84 = 333.38 : x
  2. Step 2: Convert to fraction form
    463.48/694.84 = 333.38/x
  3. Step 3: Cross multiply
    463.48x = 694.84 × 333.38
  4. Step 4: Simplify right side
    463.48x = 231,645.76
  5. Step 5: Solve for x
    x = 231,645.76/463.48
  6. Step 6: Final answer
    x = 499.80

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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.