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Finding the Fourth Proportional to 462.84, 694.26 and 330.54

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Solution

The fourth proportional to 462.84, 694.26 and 330.54 is: 495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.84 : 694.26 = 330.54 : x
  2. Step 2: Convert to fraction form
    462.84/694.26 = 330.54/x
  3. Step 3: Cross multiply
    462.84x = 694.26 × 330.54
  4. Step 4: Simplify right side
    462.84x = 229,480.70
  5. Step 5: Solve for x
    x = 229,480.70/462.84
  6. Step 6: Final answer
    x = 495.81

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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.