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Finding the Fourth Proportional to 463.49, 693.81 and 332.27

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Solution

The fourth proportional to 463.49, 693.81 and 332.27 is: 497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.49 : 693.81 = 332.27 : x
  2. Step 2: Convert to fraction form
    463.49/693.81 = 332.27/x
  3. Step 3: Cross multiply
    463.49x = 693.81 × 332.27
  4. Step 4: Simplify right side
    463.49x = 230,532.25
  5. Step 5: Solve for x
    x = 230,532.25/463.49
  6. Step 6: Final answer
    x = 497.38

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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.